diff --git a/edx_lint/files/common_constraints.txt b/edx_lint/files/common_constraints.txt
index e3bf8ea..ef37c55 100644
--- a/edx_lint/files/common_constraints.txt
+++ b/edx_lint/files/common_constraints.txt
@@ -30,3 +30,7 @@ django-simple-history==3.0.0
 # So we need to pin it globally, for now.
 # Ticket for unpinning: https://github.com/openedx/edx-lint/issues/407
 importlib-metadata<7
+
+# Support for backports.zoneinfo in Python 3.9+ is currently minimal
+# https://pypi.org/project/backports.zoneinfo/
+backports.zoneinfo;python_version<"3.9"