diff --git a/starlette/_utils.py b/starlette/_utils.py
index 0c389dcb2..8001c4722 100644
--- a/starlette/_utils.py
+++ b/starlette/_utils.py
@@ -1,7 +1,7 @@
 from __future__ import annotations
 
-import asyncio
 import functools
+import inspect
 import sys
 import typing
 from contextlib import contextmanager
@@ -36,7 +36,7 @@ def is_async_callable(obj: typing.Any) -> typing.Any:
     while isinstance(obj, functools.partial):
         obj = obj.func
 
-    return asyncio.iscoroutinefunction(obj) or (callable(obj) and asyncio.iscoroutinefunction(obj.__call__))
+    return inspect.iscoroutinefunction(obj) or (callable(obj) and inspect.iscoroutinefunction(obj.__call__))
 
 
 T_co = typing.TypeVar("T_co", covariant=True)