diff --git a/doc/requirements.txt b/doc/requirements.txt
index 6fda01003..d7efd5f74 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -1,4 +1,4 @@
-sphinx>=2.0.0,!=2.1.0 # BSD
+sphinx>=2.0.0 # BSD
 openstackdocstheme>=2.2.1 # Apache-2.0
 os-api-ref>=1.4.0 # Apache-2.0
 reno>=3.1.0 # Apache-2.0
diff --git a/requirements.txt b/requirements.txt
index e37992df9..ad36dc380 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,7 +1,7 @@
 pbr>=4.0.0 # Apache-2.0
 
 SQLAlchemy>=1.2.0 # MIT
-pecan!=1.0.2,!=1.0.3,!=1.0.4,!=1.2,>=1.0.0 # BSD
+pecan>=1.0.0 # BSD
 keystoneauth1>=3.14.0 # Apache-2.0
 netaddr>=0.7.18 # BSD
 stevedore>=1.20.0 # Apache-2.0
@@ -15,7 +15,7 @@ oslo.log>=4.3.0 # Apache-2.0
 oslo.messaging>=14.2.0 # Apache-2.0
 oslo.policy>=4.3.0 # Apache-2.0
 oslo.serialization>=2.25.0 # Apache-2.0
-oslo.service!=1.28.1,>=1.24.0 # Apache-2.0
+oslo.service>=1.24.0 # Apache-2.0
 oslo.utils>=7.0.0 # Apache-2.0
 oslo.versionedobjects>=1.31.2 # Apache-2.0
 osprofiler>=1.4.0 # Apache-2.0
diff --git a/test-requirements.txt b/test-requirements.txt
index 388502ba2..ca5826aac 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -1,7 +1,7 @@
 hacking>=6.1.0,<6.2.0 # Apache-2.0
 
-bandit!=1.6.0,>=1.1.0 # Apache-2.0
-coverage!=4.4,>=4.0 # Apache-2.0
+bandit>=1.1.0 # Apache-2.0
+coverage>=4.0 # Apache-2.0
 ddt>=1.0.1 # MIT
 fixtures>=3.0.0 # Apache-2.0/BSD
 flake8-import-order>=0.18.0,<0.19.0 # LGPLv3