diff --git a/test/integration/targets/unarchive/tasks/test_download.yml b/test/integration/targets/unarchive/tasks/test_download.yml
index 241f11b66af..d1f2dff77c1 100644
--- a/test/integration/targets/unarchive/tasks/test_download.yml
+++ b/test/integration/targets/unarchive/tasks/test_download.yml
@@ -9,6 +9,7 @@
   - name: Install packages to make TLS connections work on CentOS 6
     pip:
       name:
+        - pyasn1 == 0.4.8 ; python_version == '2.6'  # 0.5.0 drops support for Python 2.6
         - urllib3==1.10.2
         - ndg_httpsclient==0.4.4
         - pyOpenSSL==16.2.0
diff --git a/test/integration/targets/uri/tasks/main.yml b/test/integration/targets/uri/tasks/main.yml
index 755cd432d3f..1cfea7bc321 100644
--- a/test/integration/targets/uri/tasks/main.yml
+++ b/test/integration/targets/uri/tasks/main.yml
@@ -328,6 +328,7 @@
   pip:
     name: "{{ item }}"
   with_items:
+    - pyasn1 == 0.4.8 ; python_version == '2.6'  # 0.5.0 drops support for Python 2.6
     - ndg-httpsclient
   when: not ansible_python.has_sslcontext and not is_ubuntu_precise|bool