diff --git a/test-requirements-py3.txt b/test-requirements-py3.txt
index e221ee7..48bbf97 100644
--- a/test-requirements-py3.txt
+++ b/test-requirements-py3.txt
@@ -23,5 +23,5 @@ mock>=1.0
 # not available for Python 3.x
 # eventlet>=0.13.0
 
-oslotest>=1.5.1,<1.6.0  # Apache-2.0
+oslotest>=1.5.1  # Apache-2.0
 
diff --git a/test-requirements.txt b/test-requirements.txt
index a3fa9e8..c7ababb 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -13,8 +13,8 @@ testtools>=0.9.36,!=1.2.0
 
 # this is required for the docs build jobs
 sphinx>=1.1.2,!=1.2.0,!=1.3b1,<1.3
-oslosphinx>=2.5.0,<2.6.0  # Apache-2.0
-oslotest>=1.5.1,<1.6.0  # Apache-2.0
+oslosphinx>=2.5.0  # Apache-2.0
+oslotest>=1.5.1  # Apache-2.0
 
 
 # mocking framework