diff --git a/setup.py b/setup.py
index 68bfc25c42..1098e115c6 100644
--- a/setup.py
+++ b/setup.py
@@ -36,7 +36,7 @@
     author_email="oss@redis.com",
     python_requires=">=3.8",
     install_requires=[
-        'async-timeout>=4.0.3',
+        'async-timeout>=4.0.3; python_full_version<"3.11.3"',
     ],
     classifiers=[
         "Development Status :: 5 - Production/Stable",