diff --git a/setup.py b/setup.py
index eeed16e75..1dce0f1a3 100755
--- a/setup.py
+++ b/setup.py
@@ -96,7 +96,7 @@ def find_meta(meta):
         package_dir={"": "src"},
         install_requires=[
             # Fix cryptographyMinimum in tox.ini when changing this!
-            "cryptography>=3.3",
+            "cryptography>=35.0",
             "six>=1.5.2",
         ],
         extras_require={
diff --git a/tests/test_ssl.py b/tests/test_ssl.py
index 4f9b5baf9..7be307779 100644
--- a/tests/test_ssl.py
+++ b/tests/test_ssl.py
@@ -4255,11 +4255,6 @@ def client_callback(*args):  # pragma: nocover
             handshake_in_memory(client, server)
 
 
-# XX remove this skipif before merging
-@pytest.mark.skipif(
-    not hasattr(SSL._lib, "DTLSv1_listen"),
-    reason="need newer cryptography",
-)
 class TestDTLS(object):
     def test_it_works_at_all(self):
         s_ctx = Context(DTLS_METHOD)
diff --git a/tox.ini b/tox.ini
index decabbd8a..5d573ca09 100644
--- a/tox.ini
+++ b/tox.ini
@@ -10,7 +10,7 @@ extras =
 deps =
     coverage>=4.2
     cryptographyMain: git+https://github.com/pyca/cryptography.git
-    cryptographyMinimum: cryptography==3.3
+    cryptographyMinimum: cryptography==35.0
     randomorder: pytest-randomly
 setenv =
     # Do not allow the executing environment to pollute the test environment