diff --git a/paddle/phi/kernels/funcs/fused_gemm_epilogue.h b/paddle/phi/kernels/funcs/fused_gemm_epilogue.h
index 8a2309ba26000fd79b726e8632e775cf4441247a..ab0758e2e3ff4792dac3c2c46de7fb0b7b21bcd0 100644
--- a/paddle/phi/kernels/funcs/fused_gemm_epilogue.h
+++ b/paddle/phi/kernels/funcs/fused_gemm_epilogue.h
@@ -535,10 +535,11 @@ void ComputeFusedGemmEpilogueBackwardImpl(const phi::GPUContext& dev_ctx,
                                           bool use_addto_dx,
                                           bool use_addto_dy) {
   using MT = typename phi::dtype::MPTypeTrait<T>::Type;
-  static_assert(std::is_same<DXT, T>::value || std::is_same<DXT, MT>::value,
-                "");
-  static_assert(std::is_same<DYT, T>::value || std::is_same<DYT, MT>::value,
-                "");
+  constexpr bool kIsValidDataType =
+      (std::is_same<DXT, T>::value || std::is_same<DXT, MT>::value) &&
+      (std::is_same<DYT, T>::value || std::is_same<DYT, MT>::value);
+  static_assert(kIsValidDataType, "Invalid data type");
+
   using Trait = FusedGEMMGradTrait<TransX, TransY>;
 
   if (dx) {