diff --git a/requirements.txt b/requirements.txt
index e173c520f..ebaf95428 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -27,4 +27,4 @@ keystonemiddleware>=4.12.0 # Apache-2.0
 stevedore>=1.20.0 # Apache-2.0
 voluptuous>=0.8.9 # BSD License
 sympy>=0.7.6 # BSD
-pysnmp>=4.2.3,<5.0.0  # BSD
+pysnmp<5.0.0,>=4.2.3 # BSD
diff --git a/test-requirements.txt b/test-requirements.txt
index e46bb62b7..667285e83 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -32,7 +32,7 @@ stevedore>=1.20.0 # Apache-2.0
 voluptuous>=0.8.9 # BSD License
 sympy>=0.7.6 # BSD
 reno>=1.8.0 # Apache-2.0
-pysnmp>=4.2.3,<5.0.0  # BSD
+pysnmp<5.0.0,>=4.2.3 # BSD
 
 # Doc requirements
 openstackdocstheme>=1.5.0 # Apache-2.0