diff --git a/fastapi/applications.py b/fastapi/applications.py
index 7530ddb9b..ac6050ca4 100644
--- a/fastapi/applications.py
+++ b/fastapi/applications.py
@@ -273,7 +273,7 @@ class FastAPI(Starlette):
         path: str,
         endpoint: Callable[..., Coroutine[Any, Any, Response]],
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[Depends]] = None,
@@ -331,7 +331,7 @@ class FastAPI(Starlette):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[Depends]] = None,
@@ -434,7 +434,7 @@ class FastAPI(Starlette):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[Depends]] = None,
@@ -489,7 +489,7 @@ class FastAPI(Starlette):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[Depends]] = None,
@@ -544,7 +544,7 @@ class FastAPI(Starlette):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[Depends]] = None,
@@ -599,7 +599,7 @@ class FastAPI(Starlette):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[Depends]] = None,
@@ -654,7 +654,7 @@ class FastAPI(Starlette):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[Depends]] = None,
@@ -709,7 +709,7 @@ class FastAPI(Starlette):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[Depends]] = None,
@@ -764,7 +764,7 @@ class FastAPI(Starlette):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[Depends]] = None,
@@ -819,7 +819,7 @@ class FastAPI(Starlette):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[Depends]] = None,
diff --git a/fastapi/routing.py b/fastapi/routing.py
index 6f1a8e900..2e0d2e552 100644
--- a/fastapi/routing.py
+++ b/fastapi/routing.py
@@ -315,7 +315,7 @@ class APIRoute(routing.Route):
         path: str,
         endpoint: Callable[..., Any],
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,
@@ -511,7 +511,7 @@ class APIRouter(routing.Router):
         path: str,
         endpoint: Callable[..., Any],
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,
@@ -592,7 +592,7 @@ class APIRouter(routing.Router):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,
@@ -787,7 +787,7 @@ class APIRouter(routing.Router):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,
@@ -843,7 +843,7 @@ class APIRouter(routing.Router):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,
@@ -899,7 +899,7 @@ class APIRouter(routing.Router):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,
@@ -955,7 +955,7 @@ class APIRouter(routing.Router):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,
@@ -1011,7 +1011,7 @@ class APIRouter(routing.Router):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,
@@ -1067,7 +1067,7 @@ class APIRouter(routing.Router):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,
@@ -1123,7 +1123,7 @@ class APIRouter(routing.Router):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,
@@ -1179,7 +1179,7 @@ class APIRouter(routing.Router):
         self,
         path: str,
         *,
-        response_model: Optional[Type[Any]] = None,
+        response_model: Any = None,
         status_code: Optional[int] = None,
         tags: Optional[List[Union[str, Enum]]] = None,
         dependencies: Optional[Sequence[params.Depends]] = None,