diff --git a/cache.go b/cache.go
index cd83d8a9..dca581a2 100644
--- a/cache.go
+++ b/cache.go
@@ -174,13 +174,14 @@ type encodingStructType struct {
 }
 
 func (st *encodingStructType) getFields(em *encMode) fields {
-	if em.sort == SortNone {
+	switch em.sort {
+	case SortNone, SortFastShuffle:
 		return st.fields
-	}
-	if em.sort == SortLengthFirst {
+	case SortLengthFirst:
 		return st.lengthFirstFields
+	default:
+		return st.bytewiseFields
 	}
-	return st.bytewiseFields
 }
 
 type bytewiseFieldSorter struct {
diff --git a/encode.go b/encode.go
index 79f32986..1ee8ed8d 100644
--- a/encode.go
+++ b/encode.go
@@ -11,6 +11,7 @@ import (
 	"io"
 	"math"
 	"math/big"
+	"math/rand"
 	"reflect"
 	"sort"
 	"strconv"
@@ -141,7 +142,7 @@ func (e *UnsupportedValueError) Error() string {
 type SortMode int
 
 const (
-	// SortNone means no sorting.
+	// SortNone encodes map pairs and struct fields in an arbitrary order.
 	SortNone SortMode = 0
 
 	// SortLengthFirst causes map keys or struct fields to be sorted such that:
@@ -157,6 +158,12 @@ const (
 	// in RFC 7049bis.
 	SortBytewiseLexical SortMode = 2
 
+	// SortShuffle encodes map pairs and struct fields in a shuffled
+	// order. This mode does not guarantee an unbiased permutation, but it
+	// does guarantee that the runtime of the shuffle algorithm used will be
+	// constant.
+	SortFastShuffle SortMode = 3
+
 	// SortCanonical is used in "Canonical CBOR" encoding in RFC 7049 3.9.
 	SortCanonical SortMode = SortLengthFirst
 
@@ -166,7 +173,7 @@ const (
 	// SortCoreDeterministic is used in "Core Deterministic Encoding" in RFC 7049bis.
 	SortCoreDeterministic SortMode = SortBytewiseLexical
 
-	maxSortMode SortMode = 3
+	maxSortMode SortMode = 4
 )
 
 func (sm SortMode) valid() bool {
@@ -1081,8 +1088,12 @@ func (me mapEncodeFunc) encode(e *encoderBuffer, em *encMode, v reflect.Value) e
 	if mlen == 0 {
 		return e.WriteByte(byte(cborTypeMap))
 	}
-	if em.sort != SortNone && mlen > 1 {
-		return me.encodeCanonical(e, em, v)
+	switch em.sort {
+	case SortNone, SortFastShuffle:
+	default:
+		if mlen > 1 {
+			return me.encodeCanonical(e, em, v)
+		}
 	}
 	encodeHead(e, byte(cborTypeMap), uint64(mlen))
 
@@ -1234,7 +1245,13 @@ func encodeFixedLengthStruct(e *encoderBuffer, em *encMode, v reflect.Value, fld
 
 	encodeHead(e, byte(cborTypeMap), uint64(len(flds)))
 
-	for i := 0; i < len(flds); i++ {
+	start := 0
+	if em.sort == SortFastShuffle {
+		start = rand.Intn(len(flds)) //nolint:gosec // Don't need a CSPRNG for deck cutting.
+	}
+
+	for offset := 0; offset < len(flds); offset++ {
+		i := (start + offset) % len(flds)
 		f := flds[i]
 		if !f.keyAsInt && em.fieldName == FieldNameToByteString {
 			e.Write(f.cborNameByteString)
@@ -1263,9 +1280,16 @@ func encodeStruct(e *encoderBuffer, em *encMode, v reflect.Value) (err error) {
 		return encodeFixedLengthStruct(e, em, v, flds)
 	}
 
+	start := 0
+	if em.sort == SortFastShuffle {
+		start = rand.Intn(len(flds)) //nolint:gosec // Don't need a CSPRNG for deck cutting.
+	}
+
 	kve := getEncoderBuffer() // encode key-value pairs based on struct field tag options
 	kvcount := 0
-	for i := 0; i < len(flds); i++ {
+
+	for offset := 0; offset < len(flds); offset++ {
+		i := (start + offset) % len(flds)
 		f := flds[i]
 
 		var fv reflect.Value
diff --git a/encode_test.go b/encode_test.go
index 2ed416bd..cfcff564 100644
--- a/encode_test.go
+++ b/encode_test.go
@@ -4343,3 +4343,53 @@ func TestMarshalerReturnsDisallowedCBORData(t *testing.T) {
 		})
 	}
 }
+
+func TestSortModeFastShuffle(t *testing.T) {
+	em, err := EncOptions{Sort: SortFastShuffle}.EncMode()
+	if err != nil {
+		t.Fatal(err)
+	}
+
+	// These cases are based on the assumption that even a constant-time shuffle algorithm can
+	// give an unbiased permutation of the keys when there are exactly 2 keys, so each trial
+	// should succeed with probability 1/2.
+
+	for _, tc := range []struct {
+		name   string
+		trials int
+		in     interface{}
+	}{
+		{
+			name:   "fixed length struct",
+			trials: 1024,
+			in:     struct{ A, B int }{},
+		},
+		{
+			name:   "variable length struct",
+			trials: 1024,
+			in: struct {
+				A int
+				B int `cbor:",omitempty"`
+			}{B: 1},
+		},
+	} {
+		t.Run(tc.name, func(t *testing.T) {
+			first, err := em.Marshal(tc.in)
+			if err != nil {
+				t.Fatal(err)
+			}
+
+			for i := 1; i <= tc.trials; i++ {
+				next, err := em.Marshal(tc.in)
+				if err != nil {
+					t.Fatal(err)
+				}
+				if string(first) != string(next) {
+					return
+				}
+			}
+
+			t.Errorf("object encoded identically in %d consecutive trials using SortFastShuffle", tc.trials)
+		})
+	}
+}