diff --git a/aiojobs/_job.py b/aiojobs/_job.py
index ffcf659a..e8e21028 100644
--- a/aiojobs/_job.py
+++ b/aiojobs/_job.py
@@ -3,7 +3,10 @@
 import traceback
 from typing import TYPE_CHECKING, Coroutine, Generic, Optional, TypeVar
 
-import async_timeout
+if sys.version_info >= (3, 11):
+    from asyncio import timeout as asyncio_timeout
+else:
+    from async_timeout import timeout as asyncio_timeout
 
 if TYPE_CHECKING:
     from ._scheduler import Scheduler
@@ -70,7 +73,7 @@ def set_name(self, name: str) -> None:
             self._task.set_name(name)
 
     async def _do_wait(self, timeout: Optional[float]) -> _T:
-        async with async_timeout.timeout(timeout):
+        async with asyncio_timeout(timeout):
             # TODO: add a test for waiting for a pending coro
             await self._started
             assert self._task is not None  # Task should have been created before this.
@@ -113,7 +116,7 @@ async def _close(self, timeout: Optional[float]) -> None:
         # self._scheduler is None after _done_callback()
         scheduler = self._scheduler
         try:
-            async with async_timeout.timeout(timeout):
+            async with asyncio_timeout(timeout):
                 await self._task
         except asyncio.CancelledError:
             pass
diff --git a/setup.cfg b/setup.cfg
index 883c033f..bae945ab 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -46,7 +46,7 @@ packages = aiojobs
 include_package_data = True
 
 install_requires =
-  async-timeout >= 4.0.0
+  async-timeout >= 4.0.0 ; python_version < "3.11"
 
 [options.extras_require]
 aiohttp =
diff --git a/tests/test_scheduler.py b/tests/test_scheduler.py
index 7fe760b7..e105feb7 100644
--- a/tests/test_scheduler.py
+++ b/tests/test_scheduler.py
@@ -1,12 +1,17 @@
 import asyncio
+import sys
 from typing import Awaitable, Callable, List, NoReturn
 from unittest import mock
 
 import pytest
-from async_timeout import timeout
 
 from aiojobs import Scheduler
 
+if sys.version_info >= (3, 11):
+    from asyncio import timeout as asyncio_timeout
+else:
+    from async_timeout import timeout as asyncio_timeout
+
 _MakeScheduler = Callable[..., Awaitable[Scheduler]]
 
 
@@ -285,7 +290,7 @@ async def coro(fut: "asyncio.Future[None]") -> None:
 
     with pytest.raises(asyncio.TimeoutError):
         # try to wait for 1 sec to add task to pending queue
-        async with timeout(1):
+        async with asyncio_timeout(1):
             await scheduler.spawn(coro(fut3))
 
     assert scheduler.active_count == 1