diff --git a/elastic_transport/_node/_http_aiohttp.py b/elastic_transport/_node/_http_aiohttp.py
index 68f5000..be55b93 100644
--- a/elastic_transport/_node/_http_aiohttp.py
+++ b/elastic_transport/_node/_http_aiohttp.py
@@ -22,6 +22,7 @@
 import os
 import re
 import ssl
+import sys
 import warnings
 from typing import Optional, TypedDict, Union
 
@@ -65,6 +66,11 @@ class RequestKwarg(TypedDict, total=False):
     _AIOHTTP_FIXED_HEAD_BUG = False
 
 
+# Avoid aiohttp enabled_cleanup_closed warning: https://github.com/aio-libs/aiohttp/pull/9726
+_NEEDS_CLEANUP_CLOSED_313 = (3, 13, 0) <= sys.version_info < (3, 13, 1)
+_NEEDS_CLEANUP_CLOSED = _NEEDS_CLEANUP_CLOSED_313 or sys.version_info < (3, 12, 7)
+
+
 class AiohttpHttpNode(BaseAsyncNode):
     """Default asynchronous node class using the ``aiohttp`` library via HTTP"""
 
@@ -262,7 +268,7 @@ def _create_aiohttp_session(self) -> None:
             connector=aiohttp.TCPConnector(
                 limit_per_host=self._connections_per_node,
                 use_dns_cache=True,
-                enable_cleanup_closed=True,
+                enable_cleanup_closed=_NEEDS_CLEANUP_CLOSED,
                 ssl=self._ssl_context or False,
             ),
         )