diff --git a/global-requirements.txt b/global-requirements.txt
index 2f53d7ebaa..7b1f8cf750 100644
--- a/global-requirements.txt
+++ b/global-requirements.txt
@@ -178,7 +178,8 @@ oslo.log<4.0.0;python_version<'3.0'  # Apache-2.0
 oslo.log;python_version>='3.0'  # Apache-2.0
 oslo.messaging!=9.0.0  # Apache-2.0
 oslo.middleware  # Apache-2.0
-oslo.policy  # Apache-2.0
+oslo.policy<3.0.0;python_version=='2.7'  # Apache-2.0
+oslo.policy!=3.0.0;python_version>='3.6'  # Apache-2.0
 oslo.privsep<2.0.0;python_version=='2.7'  # Apache-2.0
 oslo.privsep;python_version>='3.6'  # Apache-2.0
 oslo.reports<2.0.0;python_version<'3.0'  # Apache-2.0