diff --git a/vllm/platforms/cuda.py b/vllm/platforms/cuda.py
index 03f0c1527..240724a67 100644
--- a/vllm/platforms/cuda.py
+++ b/vllm/platforms/cuda.py
@@ -99,7 +99,7 @@ class CudaPlatformBase(Platform):
 
     @classmethod
     def is_async_output_supported(cls, enforce_eager: Optional[bool]) -> bool:
-        if enforce_eager:
+        if enforce_eager and not envs.VLLM_USE_V1:
             logger.warning(
                 "To see benefits of async output processing, enable CUDA "
                 "graph. Since, enforce-eager is enabled, async output "
diff --git a/vllm/platforms/rocm.py b/vllm/platforms/rocm.py
index 04637f5c7..e9e18d3fe 100644
--- a/vllm/platforms/rocm.py
+++ b/vllm/platforms/rocm.py
@@ -299,7 +299,7 @@ class RocmPlatform(Platform):
 
     @classmethod
     def is_async_output_supported(cls, enforce_eager: Optional[bool]) -> bool:
-        if enforce_eager:
+        if enforce_eager and not envs.VLLM_USE_V1:
             logger.warning(
                 "To see benefits of async output processing, enable CUDA "
                 "graph. Since, enforce-eager is enabled, async output "