diff --git a/obsah/__init__.py b/obsah/__init__.py
index a3203a4..9f7a82f 100755
--- a/obsah/__init__.py
+++ b/obsah/__init__.py
@@ -582,7 +582,8 @@ def rotate_log(log_path: str):
             backup_path = f"{log_path[:-4]}.{timestamp}.log"
         else:
             backup_path = f"{log_path}.{timestamp}"
-        os.rename(log_path, backup_path)
+        with contextlib.suppress(FileNotFoundError):
+            os.rename(log_path, backup_path)
 
 def main(cliargs=None, application_config=ApplicationConfig):  # pylint: disable=R0914
     """
diff --git a/tests/test_log_rotate.py b/tests/test_log_rotate.py
index 9249be6..22b43a9 100644
--- a/tests/test_log_rotate.py
+++ b/tests/test_log_rotate.py
@@ -25,3 +25,22 @@ def test_rotate_log(tmp_path):
     assert 'test.log' not in log_dir_contents[0].name
     assert 'test.' in log_dir_contents[0].name
     assert not log_file.exists()
+
+def test_rotate_log_tolerates_concurrent_rotation(tmp_path):
+    log_file = tmp_path / 'test.log'
+    log_file.touch()
+    stolen = tmp_path / 'stolen.log'
+    original_exists = os.path.exists
+
+    def exists_then_steal(path):
+        result = original_exists(path)
+        if path == str(log_file) and result and not stolen.exists():
+            os.rename(path, str(stolen))
+        return result
+
+    with mock.patch('os.path.exists', side_effect=exists_then_steal):
+        obsah.rotate_log(str(log_file))  # must not raise
+
+    assert stolen.exists()
+    assert not log_file.exists()
+