diff --git a/setup.py b/setup.py
index c997322b12bf2..b4baa640b4aee 100644
--- a/setup.py
+++ b/setup.py
@@ -232,7 +232,8 @@ def write_version(filename: str = os.path.join(*[my_dir, "airflow", "git_version
     'azure-storage-blob>=12.7.0,<12.9.0',
     'azure-storage-common>=2.1.0',
     'azure-storage-file>=2.1.0',
-    'azure-servicebus>=7.6.1',
+    # Limited due to https://github.com/Azure/azure-uamqp-python/issues/191
+    'azure-servicebus>=7.6.1; platform_machine != "aarch64"',
 ]
 cassandra = [
     'cassandra-driver>=3.13.0',