diff --git a/requirements-py3.txt b/requirements-py3.txt
index 4ec18c6e3..a37a824dc 100644
--- a/requirements-py3.txt
+++ b/requirements-py3.txt
@@ -2,12 +2,12 @@
 # of appearance. Changing the order has an impact on the overall integration
 # process, which may cause wedges in the gate later.
 
-oslo.config>=1.9.3,<1.10.0  # Apache-2.0
-oslo.context>=0.2.0,<0.3.0                     # Apache-2.0
-oslo.serialization>=1.4.0,<1.5.0               # Apache-2.0
-oslo.utils>=1.4.0,<1.5.0                       # Apache-2.0
-oslo.i18n>=1.5.0,<1.6.0  # Apache-2.0
-stevedore>=1.3.0,<1.4.0  # Apache-2.0
+oslo.config>=1.9.3  # Apache-2.0
+oslo.context>=0.2.0                     # Apache-2.0
+oslo.serialization>=1.4.0               # Apache-2.0
+oslo.utils>=1.4.0                       # Apache-2.0
+oslo.i18n>=1.5.0  # Apache-2.0
+stevedore>=1.3.0  # Apache-2.0
 
 # for jsonutils
 six>=1.9.0
@@ -19,4 +19,4 @@ PyYAML>=3.1.0
 kombu>=2.5.0
 
 # middleware
-oslo.middleware>=1.0.0,<1.1.0                  # Apache-2.0
+oslo.middleware>=1.0.0                  # Apache-2.0
diff --git a/requirements.txt b/requirements.txt
index ec5fef6aa..aaf7390b0 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -4,12 +4,12 @@
 
 pbr>=0.6,!=0.7,<1.0
 
-oslo.config>=1.9.3,<1.10.0  # Apache-2.0
-oslo.context>=0.2.0,<0.3.0                     # Apache-2.0
-oslo.utils>=1.4.0,<1.5.0                       # Apache-2.0
-oslo.serialization>=1.4.0,<1.5.0               # Apache-2.0
-oslo.i18n>=1.5.0,<1.6.0  # Apache-2.0
-stevedore>=1.3.0,<1.4.0  # Apache-2.0
+oslo.config>=1.9.3  # Apache-2.0
+oslo.context>=0.2.0                     # Apache-2.0
+oslo.utils>=1.4.0                       # Apache-2.0
+oslo.serialization>=1.4.0               # Apache-2.0
+oslo.i18n>=1.5.0  # Apache-2.0
+stevedore>=1.3.0  # Apache-2.0
 
 # for jsonutils
 six>=1.9.0
@@ -26,7 +26,7 @@ PyYAML>=3.1.0
 kombu>=2.5.0
 
 # middleware
-oslo.middleware>=1.0.0,<1.1.0                  # Apache-2.0
+oslo.middleware>=1.0.0                  # Apache-2.0
 
 # for the futures based executor
 futures>=2.1.6
diff --git a/test-requirements-py3.txt b/test-requirements-py3.txt
index 6d8f1d5fe..22b4c4e52 100644
--- a/test-requirements-py3.txt
+++ b/test-requirements-py3.txt
@@ -12,7 +12,7 @@ python-subunit>=0.0.18
 testrepository>=0.0.18
 testscenarios>=0.4
 testtools>=0.9.36,!=1.2.0
-oslotest>=1.5.1,<1.6.0  # Apache-2.0
+oslotest>=1.5.1  # Apache-2.0
 
 # for test_matchmaker_redis
 redis>=2.10.0
@@ -24,4 +24,4 @@ coverage>=3.6
 
 # 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
+oslosphinx>=2.5.0  # Apache-2.0
diff --git a/test-requirements.txt b/test-requirements.txt
index b6d3057dd..c962f4a18 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -13,7 +13,7 @@ python-subunit>=0.0.18
 testrepository>=0.0.18
 testscenarios>=0.4
 testtools>=0.9.36,!=1.2.0
-oslotest>=1.5.1,<1.6.0  # Apache-2.0
+oslotest>=1.5.1  # Apache-2.0
 
 # for test_qpid
 qpid-python
@@ -31,4 +31,4 @@ coverage>=3.6
 
 # 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
+oslosphinx>=2.5.0  # Apache-2.0