diff --git a/setup.py b/setup.py
index 7a07a42..a91f781 100644
--- a/setup.py
+++ b/setup.py
@@ -100,7 +100,7 @@ def get_version(version_file):
         "requests>=2.18.4",
         # This is necessary to support the python_requires kwarg
         "setuptools >= 24.2.0",
-        "sslyze>=3.0.0,<5.0.0",
+        "sslyze>=3.0.0,<7.0.0",
         "wget>=3.2",
     ],
     extras_require={