diff --git a/requirements.txt b/requirements.txt
index 5233bb45a8..bab0b90782 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -16,18 +16,18 @@ python-neutronclient>=2.3.11,<3
 python-glanceclient>=0.15.0
 python-keystoneclient>=1.1.0
 python-swiftclient>=2.2.0
-stevedore>=1.3.0,<1.4.0  # Apache-2.0
+stevedore>=1.3.0  # Apache-2.0
 pysendfile==2.0.0
 websockify>=0.6.0,<0.7
-oslo.concurrency>=1.8.0,<1.9.0         # Apache-2.0
-oslo.config>=1.9.3,<1.10.0  # Apache-2.0
-oslo.context>=0.2.0,<0.3.0                     # Apache-2.0
-oslo.db>=1.7.0,<1.8.0  # Apache-2.0
-oslo.rootwrap>=1.6.0,<1.7.0  # Apache-2.0
-oslo.i18n>=1.5.0,<1.6.0  # Apache-2.0
-oslo.policy>=0.3.1,<0.4.0  # 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.concurrency>=1.8.0         # Apache-2.0
+oslo.config>=1.9.3  # Apache-2.0
+oslo.context>=0.2.0                     # Apache-2.0
+oslo.db>=1.7.0  # Apache-2.0
+oslo.rootwrap>=1.6.0  # Apache-2.0
+oslo.i18n>=1.5.0  # Apache-2.0
+oslo.policy>=0.3.1  # Apache-2.0
+oslo.serialization>=1.4.0               # Apache-2.0
+oslo.utils>=1.4.0                       # Apache-2.0
 pecan>=0.8.0
 requests>=2.2.0,!=2.4.0
 six>=1.9.0
@@ -35,6 +35,6 @@ jsonpatch>=1.1
 WSME>=0.6
 Jinja2>=2.6  # BSD License (3 clause)
 keystonemiddleware>=1.5.0
-oslo.messaging>=1.8.0,<1.9.0  # Apache-2.0
+oslo.messaging>=1.8.0  # Apache-2.0
 retrying>=1.2.3,!=1.3.0 # Apache-2.0
 posix_ipc
diff --git a/test-requirements.txt b/test-requirements.txt
index 9171269673..076c983443 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -8,7 +8,7 @@ fixtures>=0.3.14
 mock>=1.0
 Babel>=1.3
 MySQL-python
-oslotest>=1.5.1,<1.6.0  # Apache-2.0
+oslotest>=1.5.1  # Apache-2.0
 psycopg2
 python-ironicclient>=0.2.1
 python-subunit>=0.0.18
@@ -18,5 +18,5 @@ testtools>=0.9.36,!=1.2.0
 # Doc requirements
 sphinx>=1.1.2,!=1.2.0,!=1.3b1,<1.3
 sphinxcontrib-pecanwsme>=0.8
-oslosphinx>=2.5.0,<2.6.0  # Apache-2.0
+oslosphinx>=2.5.0  # Apache-2.0