diff --git a/test-requirements.txt b/test-requirements.txt
index ee616290..3e173af4 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -8,8 +8,8 @@ testtools>=1.4.0 # MIT
 mock>=2.0 # BSD
 testscenarios>=0.4 # Apache-2.0/BSD
 
-coverage>=4.0 # Apache-2.0
+coverage!=4.4,>=4.0 # Apache-2.0
 
 # this is required for the docs build jobs
-sphinx>=1.5.1 # BSD
+sphinx!=1.6.1,>=1.5.1 # BSD
 oslosphinx>=4.7.0 # Apache-2.0