diff --git a/requirements.txt b/requirements.txt
index b97ce7a26..3f87b9c00 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -9,12 +9,12 @@ iso8601>=0.1.9
 jsonschema>=2.0.0,<3.0.0
 kombu>=2.5.0
 netaddr>=0.7.12
-oslo.concurrency>=1.8.0,<1.9.0         # Apache-2.0
-oslo.config>=1.9.3,<1.10.0  # Apache-2.0
-oslo.i18n>=1.5.0,<1.6.0  # Apache-2.0
-oslo.messaging>=1.8.0,<1.9.0  # Apache-2.0
-oslo.log>=1.0.0,<1.1.0  # Apache-2.0
-oslo.policy>=0.3.1,<0.4.0  # Apache-2.0
+oslo.concurrency>=1.8.0         # Apache-2.0
+oslo.config>=1.9.3  # Apache-2.0
+oslo.i18n>=1.5.0  # Apache-2.0
+oslo.messaging>=1.8.0  # Apache-2.0
+oslo.log>=1.0.0  # Apache-2.0
+oslo.policy>=0.3.1  # Apache-2.0
 Paste
 PasteDeploy>=1.5.0
 pbr>=0.6,!=0.7,<1.0
@@ -25,5 +25,5 @@ python-ldap>=2.4
 keystonemiddleware>=1.5.0
 six>=1.9.0
 SQLAlchemy>=0.9.7,<=0.9.99
-stevedore>=1.3.0,<1.4.0  # Apache-2.0
+stevedore>=1.3.0  # Apache-2.0
 WebOb>=1.2.3
diff --git a/test-requirements.txt b/test-requirements.txt
index 3d3a60e57..7f486dfa2 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -5,7 +5,7 @@ coverage>=3.6
 discover
 hacking>=0.10.0,<0.11
 mock>=1.0
-oslotest>=1.5.1,<1.6.0  # Apache-2.0
+oslotest>=1.5.1  # Apache-2.0
 pykmip>=0.2.0  # Apache 2.0 License
 testrepository>=0.0.18
 testtools>=0.9.36,!=1.2.0
@@ -16,4 +16,4 @@ tempest-lib>=0.4.0
 
 # Documentation build requirements
 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