diff --git a/fastapi/routing.py b/fastapi/routing.py
index a8e12eb60..c10175b16 100644
--- a/fastapi/routing.py
+++ b/fastapi/routing.py
@@ -3,7 +3,6 @@ import email.message
 import functools
 import inspect
 import json
-import sys
 from contextlib import AsyncExitStack, asynccontextmanager
 from enum import Enum, IntEnum
 from typing import (
@@ -79,11 +78,6 @@ from starlette.types import AppType, ASGIApp, Lifespan, Receive, Scope, Send
 from starlette.websockets import WebSocket
 from typing_extensions import Annotated, deprecated
 
-if sys.version_info >= (3, 13):  # pragma: no cover
-    from inspect import iscoroutinefunction
-else:  # pragma: no cover
-    from asyncio import iscoroutinefunction
-
 
 # Copy of starlette.routing.request_response modified to include the
 # dependencies' AsyncExitStack
@@ -308,7 +302,7 @@ def get_request_handler(
     embed_body_fields: bool = False,
 ) -> Callable[[Request], Coroutine[Any, Any, Response]]:
     assert dependant.call is not None, "dependant.call must be a function"
-    is_coroutine = iscoroutinefunction(dependant.call)
+    is_coroutine = dependant.is_coroutine_callable
     is_body_form = body_field and isinstance(
         body_field.field_info, (params.Form, temp_pydantic_v1_params.Form)
     )