diff --git a/homeassistant/helpers/aiohttp_client.py b/homeassistant/helpers/aiohttp_client.py
index 78806cb5ae1..8208c774887 100644
--- a/homeassistant/helpers/aiohttp_client.py
+++ b/homeassistant/helpers/aiohttp_client.py
@@ -37,10 +37,11 @@ SERVER_SOFTWARE = "{0}/{1} aiohttp/{2} Python/{3[0]}.{3[1]}".format(
     APPLICATION_NAME, __version__, aiohttp.__version__, sys.version_info
 )
 
-ENABLE_CLEANUP_CLOSED = sys.version_info < (3, 11, 1)
+ENABLE_CLEANUP_CLOSED = not (3, 11, 1) <= sys.version_info < (3, 11, 4)
 # Enabling cleanup closed on python 3.11.1+ leaks memory relatively quickly
 # see https://github.com/aio-libs/aiohttp/issues/7252
 # aiohttp interacts poorly with https://github.com/python/cpython/pull/98540
+# The issue was fixed in 3.11.4 via https://github.com/python/cpython/pull/104485
 
 WARN_CLOSE_MSG = "closes the Home Assistant aiohttp session"