diff --git a/test-requirements.txt b/test-requirements.txt
index 29285757..5f9f2884 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -1,10 +1,10 @@
 # The order of packages is significant, because pip processes them in the order
 # of appearance. Changing the order has an impact on the overall integration
 # process, which may cause wedges in the gate later.
-bashate>=0.2 # Apache-2.0
+bashate>=0.5.1 # Apache-2.0
 flake8<2.6.0,>=2.5.4 # MIT
 pyasn1!=0.2.3 # BSD
-pyOpenSSL>=0.14 # Apache-2.0
+pyOpenSSL>=16.2.0 # Apache-2.0
 requests>=2.14.2 # Apache-2.0
 ndg-httpsclient>=0.4.2;python_version<'3.0' # BSD