diff --git a/doc/requirements.txt b/doc/requirements.txt
index 60ba470..530d00a 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -1,4 +1,4 @@
-sphinx>=2.0.0,!=2.1.0 # BSD
+sphinx>=2.1.1 # BSD
 openstackdocstheme>=2.2.1 # Apache-2.0
 # releasenotes
 reno>=3.1.0 # Apache-2.0
diff --git a/requirements.txt b/requirements.txt
index 1d18dd3..061d161 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,5 +1 @@
-# The order of packages is significant, because pip processes them in the order
-# of appearance. Changing the order has an impact on the overall integration
-# process, which may cause wedges in the gate later.
-
-pbr>=2.0 # Apache-2.0
+pbr>=3.0 # Apache-2.0
diff --git a/test-requirements.txt b/test-requirements.txt
index 8903bf3..8ca3374 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -1,5 +1,5 @@
 hacking>=6.1.0,<6.2.0 # Apache-2.0
-coverage>=4.0,!=4.4 # Apache-2.0
+coverage>=4.4.1 # Apache-2.0
 oslotest>=1.10.0 # Apache-2.0
 stestr>=1.0.0 # Apache-2.0
 testtools>=1.4.0 # MIT