diff --git a/rotate_backups/__init__.py b/rotate_backups/__init__.py
index d144b6b..2c1b469 100644
--- a/rotate_backups/__init__.py
+++ b/rotate_backups/__init__.py
@@ -986,7 +986,12 @@ def timestamp(self):
     @property
     def week(self):
         """The ISO week number of :attr:`timestamp` (a number)."""
-        return self.timestamp.isocalendar()[1]
+        # for some days close to January 1, isocalendar()[1] may return the week number as 52 or 53
+        # eg: date(2022, 1, 1).isocalendar() returns (2021, 52, 6)
+        if self.year == self.timestamp.isocalendar()[0] + 1:
+            return 0
+        else:
+            return self.timestamp.isocalendar()[1]
 
     def __getattr__(self, name):
         """Defer attribute access to :attr:`timestamp`."""
diff --git a/rotate_backups/tests.py b/rotate_backups/tests.py
index c3b8078..1681514 100644
--- a/rotate_backups/tests.py
+++ b/rotate_backups/tests.py
@@ -387,6 +387,23 @@ def test_minutely_rotation(self):
             assert os.path.exists(os.path.join(root, 'backup-2016-01-10_21-30-00'))
             assert os.path.exists(os.path.join(root, 'backup-2016-01-10_21-45-00'))
 
+    def test_weekly_rotation(self):
+        """Test weekly rotation."""
+        with TemporaryDirectory(prefix='rotate-backups-', suffix='-test-suite') as root:
+            os.mkdir(os.path.join(root, 'galera_backup_db4.sl.example.lab_2020-12-26_10-00'))
+            os.mkdir(os.path.join(root, 'galera_backup_db4.sl.example.lab_2021-01-02_10-00'))
+            os.mkdir(os.path.join(root, 'galera_backup_db4.sl.example.lab_2021-01-09_10-00'))
+            os.mkdir(os.path.join(root, 'galera_backup_db4.sl.example.lab_2021-01-16_10-00'))
+            os.mkdir(os.path.join(root, 'galera_backup_db4.sl.example.lab_2021-01-23_10-00'))
+            os.mkdir(os.path.join(root, 'galera_backup_db4.sl.example.lab_2021-01-30_10-00'))
+            run_cli(main, '--weekly=4', root)
+            assert os.path.exists(os.path.join(root, 'galera_backup_db4.sl.example.lab_2020-12-26_10-00')) is False
+            assert os.path.exists(os.path.join(root, 'galera_backup_db4.sl.example.lab_2021-01-02_10-00')) is False
+            assert os.path.exists(os.path.join(root, 'galera_backup_db4.sl.example.lab_2021-01-09_10-00'))
+            assert os.path.exists(os.path.join(root, 'galera_backup_db4.sl.example.lab_2021-01-16_10-00'))
+            assert os.path.exists(os.path.join(root, 'galera_backup_db4.sl.example.lab_2021-01-23_10-00'))
+            assert os.path.exists(os.path.join(root, 'galera_backup_db4.sl.example.lab_2021-01-30_10-00'))
+
     def test_removal_command(self):
         """Test that the removal command can be customized."""
         with TemporaryDirectory(prefix='rotate-backups-', suffix='-test-suite') as root: