diff --git a/pyproject.toml b/pyproject.toml
index 6844a316f..48551cc83 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -35,7 +35,7 @@ dependencies = [
     "asgiref>=3.2.10,<3.8",
     "Brotli>=1.0,<1.2",
     "certifi>=2019.9.11",  # no semver here - this should always be on the last release!
-    "cryptography>=38.0,<41.1",
+    "cryptography>=39.0,<41.1",
     "flask>=1.1.1,<3.1",
     "h11>=0.11,<0.15",
     "h2>=4.1,<5",