diff --git a/test-requirements.txt b/test-requirements.txt
index bc17d0d..356ae24 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -12,20 +12,20 @@ fixtures>=3.0.0 # Apache-2.0/BSD
 mock>=2.0 # BSD
 iso8601>=0.1.11 # MIT
 oslotest>=1.10.0 # Apache-2.0
-oslosphinx!=3.4.0,>=2.5.0 # Apache-2.0
+oslosphinx>=4.7.0 # Apache-2.0
 openstackdocstheme>=1.5.0 # Apache-2.0
 
 # Do not remove 'PyMySQL' and 'psycopg2' dependencies. They are used
 # by oslo_db lib for running MySQL and PostgreSQL DB migration tests.
 # See http://docs.openstack.org/developer/oslo.db/contributing.html#how-to-run-unit-tests
-PyMySQL!=0.7.7,>=0.6.2 # MIT License
+PyMySQL>=0.7.6 # MIT License
 psycopg2>=2.5 # LGPL/ZPL
 
 python-subunit>=0.0.18 # Apache-2.0/BSD
 requests-mock>=1.0 # Apache-2.0
-sphinx!=1.3b1,<1.3,>=1.2.1 # BSD
+sphinx>=1.5.1 # BSD
 os-api-ref>=1.0.0 # Apache-2.0
-os-testr>=0.7.0 # Apache-2.0
+os-testr>=0.8.0 # Apache-2.0
 testrepository>=0.0.18 # Apache-2.0/BSD
 testresources>=0.2.4 # Apache-2.0/BSD
 testtools>=1.4.0 # MIT