diff --git a/pyproject.toml b/pyproject.toml
index 33ebce43b..6305ba981 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -31,7 +31,7 @@ classifiers = [
 # It is not considered best practice to use install_requires to pin dependencies to specific versions.
 dependencies = [
     "aioquic_mitmproxy>=0.9.20,<0.10",
-    "asgiref>=3.2.10,<3.7",
+    "asgiref>=3.2.10,<3.8",
     "Brotli>=1.0,<1.1",
     "certifi>=2019.9.11",  # no semver here - this should always be on the last release!
     "cryptography>=38.0,<41.1",