diff --git a/fastapi/dependencies/utils.py b/fastapi/dependencies/utils.py
index a4a8c96df1..3d3faec894 100644
--- a/fastapi/dependencies/utils.py
+++ b/fastapi/dependencies/utils.py
@@ -17,7 +17,6 @@ from typing import (
     Union,
     cast,
 )
-import types
 
 import anyio
 from fastapi import params
@@ -279,7 +278,8 @@ def get_typed_return_annotation(call: Callable[..., Any]) -> Any:
     globalns = getattr(call, "__globals__", {})
     typed_annotation = get_typed_annotation(annotation, globalns)
 
-    if typed_annotation is types.NoneType:
+    NoneType = type(None)
+    if issubclass(typed_annotation, NoneType):
         return None
 
     return typed_annotation