diff --git a/setup.py b/setup.py
index 9070811b4..479a4a6d4 100644
--- a/setup.py
+++ b/setup.py
@@ -38,7 +38,7 @@ def get_long_description():
     package_data={"starlette": ["py.typed"]},
     include_package_data=True,
     install_requires=[
-        "anyio>=3.4.0,<4",
+        "anyio>=3.4.0,<5",
         "typing_extensions>=3.10.0; python_version < '3.10'",
         "contextlib2 >= 21.6.0; python_version < '3.7'",
     ],