diff --git a/barretenberg/cpp/src/barretenberg/dsl/acir_format/serde/acir.hpp b/barretenberg/cpp/src/barretenberg/dsl/acir_format/serde/acir.hpp
index 9ffda938c7e..35db8753546 100644
--- a/barretenberg/cpp/src/barretenberg/dsl/acir_format/serde/acir.hpp
+++ b/barretenberg/cpp/src/barretenberg/dsl/acir_format/serde/acir.hpp
@@ -1137,6 +1137,7 @@ struct Opcode {
         uint32_t id;
         std::vector<Program::Witness> inputs;
         std::vector<Program::Witness> outputs;
+        std::optional<Program::Expression> predicate;
 
         friend bool operator==(const Call&, const Call&);
         std::vector<uint8_t> bincodeSerialize() const;
@@ -7491,6 +7492,9 @@ inline bool operator==(const Opcode::Call& lhs, const Opcode::Call& rhs)
     if (!(lhs.outputs == rhs.outputs)) {
         return false;
     }
+    if (!(lhs.predicate == rhs.predicate)) {
+        return false;
+    }
     return true;
 }
 
@@ -7520,6 +7524,7 @@ void serde::Serializable<Program::Opcode::Call>::serialize(const Program::Opcode
     serde::Serializable<decltype(obj.id)>::serialize(obj.id, serializer);
     serde::Serializable<decltype(obj.inputs)>::serialize(obj.inputs, serializer);
     serde::Serializable<decltype(obj.outputs)>::serialize(obj.outputs, serializer);
+    serde::Serializable<decltype(obj.predicate)>::serialize(obj.predicate, serializer);
 }
 
 template <>
@@ -7530,6 +7535,7 @@ Program::Opcode::Call serde::Deserializable<Program::Opcode::Call>::deserialize(
     obj.id = serde::Deserializable<decltype(obj.id)>::deserialize(deserializer);
     obj.inputs = serde::Deserializable<decltype(obj.inputs)>::deserialize(deserializer);
     obj.outputs = serde::Deserializable<decltype(obj.outputs)>::deserialize(deserializer);
+    obj.predicate = serde::Deserializable<decltype(obj.predicate)>::deserialize(deserializer);
     return obj;
 }
 
diff --git a/noir/noir-repo/acvm-repo/acir/codegen/acir.cpp b/noir/noir-repo/acvm-repo/acir/codegen/acir.cpp
index d7ef849ab75..e4203b579b0 100644
--- a/noir/noir-repo/acvm-repo/acir/codegen/acir.cpp
+++ b/noir/noir-repo/acvm-repo/acir/codegen/acir.cpp
@@ -1074,6 +1074,7 @@ namespace Program {
             uint32_t id;
             std::vector<Program::Witness> inputs;
             std::vector<Program::Witness> outputs;
+            std::optional<Program::Expression> predicate;
 
             friend bool operator==(const Call&, const Call&);
             std::vector<uint8_t> bincodeSerialize() const;
@@ -6173,6 +6174,7 @@ namespace Program {
         if (!(lhs.id == rhs.id)) { return false; }
         if (!(lhs.inputs == rhs.inputs)) { return false; }
         if (!(lhs.outputs == rhs.outputs)) { return false; }
+        if (!(lhs.predicate == rhs.predicate)) { return false; }
         return true;
     }
 
@@ -6199,6 +6201,7 @@ void serde::Serializable<Program::Opcode::Call>::serialize(const Program::Opcode
     serde::Serializable<decltype(obj.id)>::serialize(obj.id, serializer);
     serde::Serializable<decltype(obj.inputs)>::serialize(obj.inputs, serializer);
     serde::Serializable<decltype(obj.outputs)>::serialize(obj.outputs, serializer);
+    serde::Serializable<decltype(obj.predicate)>::serialize(obj.predicate, serializer);
 }
 
 template <>
@@ -6208,6 +6211,7 @@ Program::Opcode::Call serde::Deserializable<Program::Opcode::Call>::deserialize(
     obj.id = serde::Deserializable<decltype(obj.id)>::deserialize(deserializer);
     obj.inputs = serde::Deserializable<decltype(obj.inputs)>::deserialize(deserializer);
     obj.outputs = serde::Deserializable<decltype(obj.outputs)>::deserialize(deserializer);
+    obj.predicate = serde::Deserializable<decltype(obj.predicate)>::deserialize(deserializer);
     return obj;
 }
 
diff --git a/noir/noir-repo/acvm-repo/acir/src/circuit/opcodes.rs b/noir/noir-repo/acvm-repo/acir/src/circuit/opcodes.rs
index 68d28b287e6..d8204132b3e 100644
--- a/noir/noir-repo/acvm-repo/acir/src/circuit/opcodes.rs
+++ b/noir/noir-repo/acvm-repo/acir/src/circuit/opcodes.rs
@@ -39,6 +39,8 @@ pub enum Opcode {
         inputs: Vec<Witness>,
         /// Outputs of the function call
         outputs: Vec<Witness>,
+        /// Predicate of the circuit execution - indicates if it should be skipped
+        predicate: Option<Expression>,
     },
 }
 
@@ -97,8 +99,11 @@ impl std::fmt::Display for Opcode {
                 write!(f, "INIT ")?;
                 write!(f, "(id: {}, len: {}) ", block_id.0, init.len())
             }
-            Opcode::Call { id, inputs, outputs } => {
+            Opcode::Call { id, inputs, outputs, predicate } => {
                 write!(f, "CALL func {}: ", id)?;
+                if let Some(pred) = predicate {
+                    writeln!(f, "PREDICATE = {pred}")?;
+                }
                 write!(f, "inputs: {:?}, ", inputs)?;
                 write!(f, "outputs: {:?}", outputs)
             }
diff --git a/noir/noir-repo/acvm-repo/acir/tests/test_program_serialization.rs b/noir/noir-repo/acvm-repo/acir/tests/test_program_serialization.rs
index a5b683c15e1..2feb2737d28 100644
--- a/noir/noir-repo/acvm-repo/acir/tests/test_program_serialization.rs
+++ b/noir/noir-repo/acvm-repo/acir/tests/test_program_serialization.rs
@@ -380,10 +380,18 @@ fn nested_acir_call_circuit() {
     //     assert(x == y);
     //     x
     // }
-    let nested_call =
-        Opcode::Call { id: 1, inputs: vec![Witness(0), Witness(1)], outputs: vec![Witness(2)] };
-    let nested_call_two =
-        Opcode::Call { id: 1, inputs: vec![Witness(0), Witness(1)], outputs: vec![Witness(3)] };
+    let nested_call = Opcode::Call {
+        id: 1,
+        inputs: vec![Witness(0), Witness(1)],
+        outputs: vec![Witness(2)],
+        predicate: Some(Expression::one()),
+    };
+    let nested_call_two = Opcode::Call {
+        id: 1,
+        inputs: vec![Witness(0), Witness(1)],
+        outputs: vec![Witness(3)],
+        predicate: Some(Expression::one()),
+    };
 
     let assert_nested_call_results = Opcode::AssertZero(Expression {
         mul_terms: Vec::new(),
@@ -410,8 +418,12 @@ fn nested_acir_call_circuit() {
         ],
         q_c: FieldElement::one() + FieldElement::one(),
     });
-    let call =
-        Opcode::Call { id: 2, inputs: vec![Witness(2), Witness(1)], outputs: vec![Witness(3)] };
+    let call = Opcode::Call {
+        id: 2,
+        inputs: vec![Witness(2), Witness(1)],
+        outputs: vec![Witness(3)],
+        predicate: Some(Expression::one()),
+    };
 
     let nested_call = Circuit {
         current_witness_index: 3,
@@ -443,15 +455,16 @@ fn nested_acir_call_circuit() {
     let bytes = Program::serialize_program(&program);
 
     let expected_serialization: Vec<u8> = vec![
-        31, 139, 8, 0, 0, 0, 0, 0, 0, 255, 205, 146, 97, 10, 195, 32, 12, 133, 163, 66, 207, 147,
-        24, 109, 227, 191, 93, 101, 50, 123, 255, 35, 172, 99, 25, 83, 17, 250, 99, 14, 250, 224,
-        97, 144, 16, 146, 143, 231, 224, 45, 167, 126, 105, 57, 108, 14, 91, 248, 202, 168, 65,
-        255, 207, 122, 28, 180, 250, 244, 221, 244, 197, 223, 68, 182, 154, 197, 184, 134, 80, 54,
-        95, 136, 233, 142, 62, 101, 137, 24, 98, 94, 133, 132, 162, 196, 135, 23, 230, 34, 65, 182,
-        148, 211, 134, 137, 2, 23, 218, 99, 226, 93, 135, 185, 121, 123, 33, 84, 12, 234, 218, 192,
-        64, 174, 3, 248, 47, 88, 48, 17, 150, 157, 183, 151, 95, 244, 86, 91, 221, 61, 10, 81, 31,
-        178, 190, 110, 194, 102, 96, 76, 251, 202, 80, 13, 204, 77, 224, 25, 176, 70, 79, 197, 128,
-        18, 64, 3, 4, 0, 0,
+        31, 139, 8, 0, 0, 0, 0, 0, 0, 255, 213, 83, 65, 14, 3, 33, 8, 68, 77, 246, 61, 32, 186,
+        139, 183, 126, 165, 166, 238, 255, 159, 208, 109, 74, 82, 229, 178, 135, 186, 77, 58, 201,
+        4, 195, 97, 128, 1, 3, 188, 17, 148, 47, 44, 7, 221, 65, 15, 31, 56, 37, 104, 222, 129,
+        193, 77, 35, 126, 7, 58, 43, 30, 174, 44, 222, 107, 250, 201, 218, 190, 211, 98, 92, 83,
+        106, 91, 108, 196, 116, 199, 88, 170, 100, 76, 185, 174, 66, 66, 89, 242, 35, 10, 115, 147,
+        36, 91, 169, 101, 195, 66, 137, 27, 237, 185, 240, 174, 98, 97, 94, 95, 8, 198, 80, 103,
+        226, 128, 0, 227, 102, 174, 50, 11, 38, 154, 229, 231, 245, 21, 23, 157, 213, 119, 115,
+        255, 244, 58, 237, 183, 176, 239, 0, 38, 233, 254, 108, 91, 14, 230, 158, 246, 153, 97, 3,
+        158, 188, 79, 135, 232, 14, 5, 0, 0,
     ];
+
     assert_eq!(bytes, expected_serialization);
 }
diff --git a/noir/noir-repo/acvm-repo/acvm/src/pwg/memory_op.rs b/noir/noir-repo/acvm-repo/acvm/src/pwg/memory_op.rs
index e51797707a7..672c13e11c2 100644
--- a/noir/noir-repo/acvm-repo/acvm/src/pwg/memory_op.rs
+++ b/noir/noir-repo/acvm-repo/acvm/src/pwg/memory_op.rs
@@ -6,7 +6,9 @@ use acir::{
     FieldElement,
 };
 
-use super::{arithmetic::ExpressionSolver, get_value, insert_value, witness_to_value};
+use super::{
+    arithmetic::ExpressionSolver, get_value, insert_value, is_predicate_false, witness_to_value,
+};
 use super::{ErrorLocation, OpcodeResolutionError};
 
 type MemoryIndex = u32;
@@ -80,11 +82,8 @@ impl MemoryOpSolver {
         // `operation == 0` implies a read operation. (`operation == 1` implies write operation).
         let is_read_operation = operation.is_zero();
 
-        // If the predicate is `None`, then we simply return the value 1
-        let pred_value = match predicate {
-            Some(pred) => get_value(pred, initial_witness),
-            None => Ok(FieldElement::one()),
-        }?;
+        // Fetch whether or not the predicate is false (e.g. equal to zero)
+        let skip_operation = is_predicate_false(initial_witness, predicate)?;
 
         if is_read_operation {
             // `value_read = arr[memory_index]`
@@ -97,7 +96,7 @@ impl MemoryOpSolver {
 
             // A zero predicate indicates that we should skip the read operation
             // and zero out the operation's output.
-            let value_in_array = if pred_value.is_zero() {
+            let value_in_array = if skip_operation {
                 FieldElement::zero()
             } else {
                 self.read_memory_index(memory_index)?
@@ -111,7 +110,7 @@ impl MemoryOpSolver {
             let value_write = value;
 
             // A zero predicate indicates that we should skip the write operation.
-            if pred_value.is_zero() {
+            if skip_operation {
                 // We only want to write to already initialized memory.
                 // Do nothing if the predicate is zero.
                 Ok(())
diff --git a/noir/noir-repo/acvm-repo/acvm/src/pwg/mod.rs b/noir/noir-repo/acvm-repo/acvm/src/pwg/mod.rs
index 3cedcfc0399..bb98eda2689 100644
--- a/noir/noir-repo/acvm-repo/acvm/src/pwg/mod.rs
+++ b/noir/noir-repo/acvm-repo/acvm/src/pwg/mod.rs
@@ -377,7 +377,7 @@ impl<'a, B: BlackBoxFunctionSolver> ACVM<'a, B> {
         };
 
         let witness = &mut self.witness_map;
-        if BrilligSolver::<B>::should_skip(witness, brillig)? {
+        if is_predicate_false(witness, &brillig.predicate)? {
             return BrilligSolver::<B>::zero_out_brillig_outputs(witness, brillig).map(|_| None);
         }
 
@@ -448,7 +448,9 @@ impl<'a, B: BlackBoxFunctionSolver> ACVM<'a, B> {
     }
 
     pub fn solve_call_opcode(&mut self) -> Result<Option<AcirCallWaitInfo>, OpcodeResolutionError> {
-        let Opcode::Call { id, inputs, outputs } = &self.opcodes[self.instruction_pointer] else {
+        let Opcode::Call { id, inputs, outputs, predicate } =
+            &self.opcodes[self.instruction_pointer]
+        else {
             unreachable!("Not executing a Call opcode");
         };
         if *id == 0 {
@@ -459,6 +461,14 @@ impl<'a, B: BlackBoxFunctionSolver> ACVM<'a, B> {
             });
         }
 
+        if is_predicate_false(&self.witness_map, predicate)? {
+            // Zero out the outputs if we have a false predicate
+            for output in outputs {
+                insert_value(output, FieldElement::zero(), &mut self.witness_map)?;
+            }
+            return Ok(None);
+        }
+
         if self.acir_call_counter >= self.acir_call_results.len() {
             let mut initial_witness = WitnessMap::default();
             for (i, input_witness) in inputs.iter().enumerate() {
@@ -556,6 +566,20 @@ fn any_witness_from_expression(expr: &Expression) -> Option<Witness> {
     }
 }
 
+/// Returns `true` if the predicate is zero
+/// A predicate is used to indicate whether we should skip a certain operation.
+/// If we have a zero predicate it means the operation should be skipped.
+pub(crate) fn is_predicate_false(
+    witness: &WitnessMap,
+    predicate: &Option<Expression>,
+) -> Result<bool, OpcodeResolutionError> {
+    match predicate {
+        Some(pred) => get_value(pred, witness).map(|pred_value| pred_value.is_zero()),
+        // If the predicate is `None`, then we treat it as an unconditional `true`
+        None => Ok(false),
+    }
+}
+
 #[derive(Debug, Clone, PartialEq)]
 pub struct AcirCallWaitInfo {
     /// Index in the list of ACIR function's that should be called
diff --git a/noir/noir-repo/acvm-repo/acvm_js/test/shared/nested_acir_call.ts b/noir/noir-repo/acvm-repo/acvm_js/test/shared/nested_acir_call.ts
index ce91282a681..9f9b94b7a44 100644
--- a/noir/noir-repo/acvm-repo/acvm_js/test/shared/nested_acir_call.ts
+++ b/noir/noir-repo/acvm-repo/acvm_js/test/shared/nested_acir_call.ts
@@ -2,13 +2,13 @@ import { WitnessMap, StackItem, WitnessStack } from '@noir-lang/acvm_js';
 
 // See `nested_acir_call_circuit` integration test in `acir/tests/test_program_serialization.rs`.
 export const bytecode = Uint8Array.from([
-  31, 139, 8, 0, 0, 0, 0, 0, 0, 255, 205, 146, 97, 10, 195, 32, 12, 133, 163, 66, 207, 147, 24, 109, 227, 191, 93, 101,
-  50, 123, 255, 35, 172, 99, 25, 83, 17, 250, 99, 14, 250, 224, 97, 144, 16, 146, 143, 231, 224, 45, 167, 126, 105, 57,
-  108, 14, 91, 248, 202, 168, 65, 255, 207, 122, 28, 180, 250, 244, 221, 244, 197, 223, 68, 182, 154, 197, 184, 134, 80,
-  54, 95, 136, 233, 142, 62, 101, 137, 24, 98, 94, 133, 132, 162, 196, 135, 23, 230, 34, 65, 182, 148, 211, 134, 137, 2,
-  23, 218, 99, 226, 93, 135, 185, 121, 123, 33, 84, 12, 234, 218, 192, 64, 174, 3, 248, 47, 88, 48, 17, 150, 157, 183,
-  151, 95, 244, 86, 91, 221, 61, 10, 81, 31, 178, 190, 110, 194, 102, 96, 76, 251, 202, 80, 13, 204, 77, 224, 25, 176,
-  70, 79, 197, 128, 18, 64, 3, 4, 0, 0,
+  31, 139, 8, 0, 0, 0, 0, 0, 0, 255, 213, 83, 65, 14, 3, 33, 8, 68, 77, 246, 61, 32, 186, 139, 183, 126, 165, 166, 238,
+  255, 159, 208, 109, 74, 82, 229, 178, 135, 186, 77, 58, 201, 4, 195, 97, 128, 1, 3, 188, 17, 148, 47, 44, 7, 221, 65,
+  15, 31, 56, 37, 104, 222, 129, 193, 77, 35, 126, 7, 58, 43, 30, 174, 44, 222, 107, 250, 201, 218, 190, 211, 98, 92,
+  83, 106, 91, 108, 196, 116, 199, 88, 170, 100, 76, 185, 174, 66, 66, 89, 242, 35, 10, 115, 147, 36, 91, 169, 101, 195,
+  66, 137, 27, 237, 185, 240, 174, 98, 97, 94, 95, 8, 198, 80, 103, 226, 128, 0, 227, 102, 174, 50, 11, 38, 154, 229,
+  231, 245, 21, 23, 157, 213, 119, 115, 255, 244, 58, 237, 183, 176, 239, 0, 38, 233, 254, 108, 91, 14, 230, 158, 246,
+  153, 97, 3, 158, 188, 79, 135, 232, 14, 5, 0, 0,
 ]);
 
 export const initialWitnessMap: WitnessMap = new Map([
diff --git a/noir/noir-repo/compiler/noirc_evaluator/src/ssa/acir_gen/acir_ir/acir_variable.rs b/noir/noir-repo/compiler/noirc_evaluator/src/ssa/acir_gen/acir_ir/acir_variable.rs
index bcd62e3b062..53d9e2530cc 100644
--- a/noir/noir-repo/compiler/noirc_evaluator/src/ssa/acir_gen/acir_ir/acir_variable.rs
+++ b/noir/noir-repo/compiler/noirc_evaluator/src/ssa/acir_gen/acir_ir/acir_variable.rs
@@ -1763,6 +1763,7 @@ impl AcirContext {
         id: u32,
         inputs: Vec<AcirValue>,
         output_count: usize,
+        predicate: AcirVar,
     ) -> Result<Vec<AcirVar>, RuntimeError> {
         let inputs = self.prepare_inputs_for_black_box_func_call(inputs)?;
         let inputs = inputs
@@ -1778,7 +1779,8 @@ impl AcirContext {
         let results =
             vecmap(&outputs, |witness_index| self.add_data(AcirVarData::Witness(*witness_index)));
 
-        self.acir_ir.push_opcode(Opcode::Call { id, inputs, outputs });
+        let predicate = Some(self.var_to_expression(predicate)?);
+        self.acir_ir.push_opcode(Opcode::Call { id, inputs, outputs, predicate });
         Ok(results)
     }
 }
diff --git a/noir/noir-repo/compiler/noirc_evaluator/src/ssa/acir_gen/mod.rs b/noir/noir-repo/compiler/noirc_evaluator/src/ssa/acir_gen/mod.rs
index d4760c29eda..fc81ae1f901 100644
--- a/noir/noir-repo/compiler/noirc_evaluator/src/ssa/acir_gen/mod.rs
+++ b/noir/noir-repo/compiler/noirc_evaluator/src/ssa/acir_gen/mod.rs
@@ -576,6 +576,7 @@ impl Context {
                                     *acir_program_id,
                                     inputs,
                                     output_count,
+                                    self.current_side_effects_enabled_var,
                                 )?;
                                 let output_values =
                                     self.convert_vars_to_values(output_vars, dfg, result_ids);
@@ -2713,7 +2714,7 @@ mod test {
         expected_outputs: Vec<Witness>,
     ) {
         match opcode {
-            Opcode::Call { id, inputs, outputs } => {
+            Opcode::Call { id, inputs, outputs, .. } => {
                 assert_eq!(
                     *id, expected_id,
                     "Main was expected to call {expected_id} but got {}",
diff --git a/noir/noir-repo/test_programs/execution_success/fold_call_witness_condition/Prover.toml b/noir/noir-repo/test_programs/execution_success/fold_call_witness_condition/Prover.toml
index 8481ce25648..a4d6339b661 100644
--- a/noir/noir-repo/test_programs/execution_success/fold_call_witness_condition/Prover.toml
+++ b/noir/noir-repo/test_programs/execution_success/fold_call_witness_condition/Prover.toml
@@ -1,5 +1,3 @@
-# TODO(https://github.com/noir-lang/noir/issues/4707): Change these inputs to fail the assertion in `fn return_value`
-# and change `enable` to false. For now we need the inputs to pass as we do not handle predicates with ACIR calls
-x = "5"
+x = "10"
 y = "10"
-enable = true
\ No newline at end of file
+enable = false