diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 3d6d271..7f6082a 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -35,6 +35,11 @@ jobs:
             ${{ runner.os }}-test-${{ env.cache-name }}-
             ${{ runner.os }}-test-
             ${{ runner.os }}-
+      - name: MOI#bl/throw_unsupported_uf
+        shell: julia --project=@. {0}
+        run: |
+          using Pkg
+          Pkg.add(PackageSpec(name="MathOptInterface", rev="bl/throw_unsupported_uf"))
       - uses: julia-actions/julia-buildpkg@v1
       - uses: julia-actions/julia-runtest@v1
       - uses: julia-actions/julia-processcoverage@v1
diff --git a/src/MOI_wrapper/MOI_wrapper.jl b/src/MOI_wrapper/MOI_wrapper.jl
index 205da87..56f2f37 100644
--- a/src/MOI_wrapper/MOI_wrapper.jl
+++ b/src/MOI_wrapper/MOI_wrapper.jl
@@ -341,6 +341,7 @@ function MOI.copy_to(
     dest::Optimizer,
     src::MOI.Utilities.UniversalFallback{OptimizerCache},
 )
+    MOI.Utilities.throw_unsupported(src)
     return MOI.copy_to(dest, src.model)
 end
 
diff --git a/test/MOI_wrapper.jl b/test/MOI_wrapper.jl
index fde7cdc..53758f3 100644
--- a/test/MOI_wrapper.jl
+++ b/test/MOI_wrapper.jl
@@ -32,6 +32,11 @@ function test_runtests()
         MOI.Utilities.UniversalFallback(MOI.Utilities.Model{Float64}()),
         MOI.instantiate(Clp.Optimizer; with_bridge_type = Float64),
     )
+    # `Variable.ZerosBridge` makes dual needed by some tests fail.
+    MOI.Bridges.remove_bridge(
+        model.optimizer,
+        MathOptInterface.Bridges.Variable.ZerosBridge{Float64},
+    )
     MOI.set(model, MOI.Silent(), true)
     MOI.Test.runtests(
         model,