diff --git a/test-requirements.txt b/test-requirements.txt
index 457b661..84d4eed 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -3,13 +3,13 @@
 # process, which may cause wedges in the gate later.
 # Hacking already pins down pep8, pyflakes and flake8
 hacking!=0.13.0,<0.14,>=0.12.0 # Apache-2.0
-coverage>=4.0 # Apache-2.0
+coverage!=4.4,>=4.0 # Apache-2.0
 mock>=2.0 # BSD
 oslo.config>=3.22.0 # Apache-2.0
 oslotest>=1.10.0 # Apache-2.0
 python-subunit>=0.0.18 # Apache-2.0/BSD
 requests-mock>=1.1 # Apache-2.0
-sphinx>=1.5.1 # BSD
+sphinx!=1.6.1,>=1.5.1 # BSD
 testrepository>=0.0.18 # Apache-2.0/BSD
 oslosphinx>=4.7.0 # Apache-2.0
 reno>=1.8.0 # Apache-2.0