diff --git a/test-requirements.txt b/test-requirements.txt
index d1f54389..3990deb9 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -3,7 +3,7 @@
 # process, which may cause wedges in the gate later.
 
 bandit>=1.1.0 # Apache-2.0
-coverage>=4.0 # Apache-2.0
+coverage!=4.4,>=4.0 # Apache-2.0
 doc8 # Apache-2.0
 ddt>=1.0.1 # MIT
 hacking!=0.13.0,<0.14,>=0.12.0 # Apache-2.0
@@ -12,7 +12,7 @@ oslotest>=1.10.0 # Apache-2.0
 osprofiler>=1.4.0 # Apache-2.0
 os-testr>=0.8.0 # Apache-2.0
 python-subunit>=0.0.18 # Apache-2.0/BSD
-sphinx>=1.5.1 # BSD
+sphinx!=1.6.1,>=1.5.1 # BSD
 tempest>=14.0.0 # Apache-2.0
 testresources>=0.2.4 # Apache-2.0/BSD
 testrepository>=0.0.18 # Apache-2.0/BSD