diff --git a/src/cephadm/cephadm b/src/cephadm/cephadm
index 8b77b787d2f..6d8e0a2f913 100755
--- a/src/cephadm/cephadm
+++ b/src/cephadm/cephadm
@@ -3371,7 +3371,7 @@ def normalize_image_digest(digest):
     #   quay.ceph.io/ceph/ceph -> ceph
     #   docker.io/ubuntu -> no change
     bits = digest.split('/')
-    if '.' not in bits[0] or len(bits) < 3:
+    if '.' not in bits[0] and len(bits) < 3:
         digest = DEFAULT_REGISTRY + '/' + digest
     return digest
 
diff --git a/src/cephadm/tests/test_cephadm.py b/src/cephadm/tests/test_cephadm.py
index ee7efad82cb..7e16a101511 100644
--- a/src/cephadm/tests/test_cephadm.py
+++ b/src/cephadm/tests/test_cephadm.py
@@ -535,6 +535,12 @@ docker.io/ceph/daemon-base:octopus
         ctx.container_engine = mock_docker()
         assert not cd.should_log_to_journald(ctx)
 
+    def test_normalize_image_digest(self):
+        s = 'myhostname:5000/ceph/ceph@sha256:753886ad9049004395ae990fbb9b096923b5a518b819283141ee8716ddf55ad1'
+        assert cd.normalize_image_digest(s) == s
+
+        s = 'ceph/ceph:latest'
+        assert cd.normalize_image_digest(s) == f'{cd.DEFAULT_REGISTRY}/{s}'
 
 class TestCustomContainer(unittest.TestCase):
     cc: cd.CustomContainer