diff --git a/tests/integration/targets/setup_openssl/tasks/main.yml b/tests/integration/targets/setup_openssl/tasks/main.yml
index c6ba8c73..d71de719 100644
--- a/tests/integration/targets/setup_openssl/tasks/main.yml
+++ b/tests/integration/targets/setup_openssl/tasks/main.yml
@@ -27,7 +27,7 @@
 - name: Install cryptography (Darwin, and potentially upgrade for other OSes)
   become: true
   ansible.builtin.pip:
-    name: cryptography>=1.3.0
+    name: cryptography>=3.3.0
     extra_args: "-c {{ remote_constraints }}"
 
 - name: Register cryptography version