diff --git a/test-requirements.txt b/test-requirements.txt
index 913b847..ae4101c 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -4,7 +4,7 @@
 hacking!=0.13.0,<0.14,>=0.12.0 # Apache-2.0
 
 bashate>=0.2 # Apache-2.0
-coverage>=4.0 # Apache-2.0
+coverage!=4.4,>=4.0 # Apache-2.0
 fixtures>=3.0.0 # Apache-2.0/BSD
 python-subunit>=0.0.18 # Apache-2.0/BSD
 testrepository>=0.0.18 # Apache-2.0/BSD
@@ -12,6 +12,6 @@ testscenarios>=0.4 # Apache-2.0/BSD
 testtools>=1.4.0 # MIT
 oslotest>=1.10.0 # Apache-2.0
 os-testr>=0.8.0 # Apache-2.0
-sphinx>=1.5.1 # BSD
+sphinx!=1.6.1,>=1.5.1 # BSD
 oslosphinx>=4.7.0 # Apache-2.0
 mock>=2.0 # BSD