diff --git a/include/cutlass/epilogue/thread/conversion_op.h b/include/cutlass/epilogue/thread/conversion_op.h
index 432906acf6..19bbc03a91 100644
--- a/include/cutlass/epilogue/thread/conversion_op.h
+++ b/include/cutlass/epilogue/thread/conversion_op.h
@@ -62,6 +62,7 @@ class Convert {
   using ElementOutput = ElementOutput_;
   using ElementAccumulator = ElementAccumulator_;
   using ElementCompute = ElementAccumulator_;
+  using ElementD = ElementOutput;                     // for use with cute::collective::DefaultEpilogue
 
   static int const kCount = Count;
 
@@ -123,6 +124,21 @@ class Convert {
 
     return destination_converter(accumulator);
   }
+
+  //
+  // Specializations for scalar (for use with cute::collective::DefaultEpilogue)
+  //
+  CUTLASS_HOST_DEVICE
+  ElementD operator()(ElementAccumulator const accumulator, ElementAccumulator const source) const {
+    NumericConverter<ElementD, ElementAccumulator, Round> destination_converter;
+    return destination_converter(source);
+  }
+
+  CUTLASS_HOST_DEVICE
+  ElementD operator()(ElementAccumulator const accumulator) const {
+    NumericConverter<ElementD, ElementAccumulator, Round> destination_converter;
+    return destination_converter(accumulator);
+  }
 };
 
 /////////////////////////////////////////////////////////////////////////////////////////////////