diff --git a/src/Bridges/Constraint/function_conversion.jl b/src/Bridges/Constraint/function_conversion.jl
index 184c9bccc7..8e6dceb08a 100644
--- a/src/Bridges/Constraint/function_conversion.jl
+++ b/src/Bridges/Constraint/function_conversion.jl
@@ -16,8 +16,9 @@ function MOI.get(
         return MOI.get(model, attr, bridge.constraint)
     else
         throw(
-            ArgumentError(
-                "Bridge of type `$(typeof(bridge))` does not support accessing the attribute `$attr` because `MOIB.Constraint.invariant_under_function_conversion($attr)` returns `false`.",
+            MOI.UnsupportedAttribute(
+                attr,
+                "Bridge of type `$(typeof(bridge))` does not support getting the attribute `$attr` because `MOIB.Constraint.invariant_under_function_conversion($attr)` returns `false`.",
             ),
         )
     end
@@ -40,7 +41,8 @@ function MOI.set(
 )
     if !invariant_under_function_conversion(attr)
         throw(
-            ArgumentError(
+            MOI.UnsupportedAttribute(
+                attr,
                 "Bridge of type `$(typeof(bridge))` does not support setting the attribute `$attr` because `MOIB.Constraint.invariant_under_function_conversion($attr)` returns `false`.",
             ),
         )
diff --git a/test/Bridges/Constraint/functionize.jl b/test/Bridges/Constraint/functionize.jl
index 158b3651fa..b0684ab315 100644
--- a/test/Bridges/Constraint/functionize.jl
+++ b/test/Bridges/Constraint/functionize.jl
@@ -99,16 +99,21 @@ function test_scalar_functionize_linear2()
         Float64,
         MOI.GreaterThan{Float64},
     }
-    err = ArgumentError(
-        "Bridge of type `$(BT)` does not support setting the attribute " *
-        "`$attr` because `MOIB.Constraint.invariant_under_function_conversion($attr)` returns `false`.",
+    function _unsupported_attribute(attr, f)
+        return MOI.UnsupportedAttribute(
+            attr,
+            "Bridge of type `$(BT)` does not support $(f)ting the attribute " *
+            "`$attr` because `MOIB.Constraint.invariant_under_function_conversion($attr)` returns `false`.",
+        )
+    end
+    @test_throws(
+        _unsupported_attribute(attr, "set"),
+        MOI.set(bridged_mock, attr, ci, 1.0),
     )
-    @test_throws err MOI.set(bridged_mock, attr, ci, 1.0)
-    err = ArgumentError(
-        "Bridge of type `$(BT)` does not support accessing the attribute " *
-        "`$attr` because `MOIB.Constraint.invariant_under_function_conversion($attr)` returns `false`.",
+    @test_throws(
+        _unsupported_attribute(attr, "get"),
+        MOI.get(bridged_mock, attr, ci),
     )
-    @test_throws err MOI.get(bridged_mock, attr, ci)
     for (i, ci) in enumerate(cis)
         _test_delete_bridge(
             bridged_mock,
@@ -206,6 +211,13 @@ function test_vector_functionize_lin1v()
     return
 end
 
+function test_unsupported_attribute_issue_1758()
+    inner = MOI.Utilities.Model{Float64}()
+    model = MOI.Bridges.Constraint.ScalarFunctionize{Float64}(inner)
+    MOI.Test.test_model_copy_to_UnsupportedAttribute(model, MOI.Test.Config())
+    return
+end
+
 end  # module
 
 TestConstraintFunctionize.runtests()