diff --git a/test/integration/targets/uri/files/constraints.txt b/test/integration/targets/uri/files/constraints.txt
new file mode 100644
index 00000000000..309ba28c5c6
--- /dev/null
+++ b/test/integration/targets/uri/files/constraints.txt
@@ -0,0 +1 @@
+cryptography < 2.2 ; python_version < "2.7" # cryptography 2.2+ requires python 2.7+
diff --git a/test/integration/targets/uri/tasks/main.yml b/test/integration/targets/uri/tasks/main.yml
index 7f0afe8e53b..730c9c97eb8 100644
--- a/test/integration/targets/uri/tasks/main.yml
+++ b/test/integration/targets/uri/tasks/main.yml
@@ -285,6 +285,7 @@
   pip:
     name: "{{ item }}"
     state: latest
+    extra_args: "-c {{ role_path }}/files/constraints.txt"
   with_items:
     - urllib3
     - PyOpenSSL