diff --git a/pyproject.toml b/pyproject.toml
index d0b5b78..85e2b64 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -84,7 +84,7 @@ dev-noxfile = [
   "frequenz-repo-config[lib] == 0.13.8",
 ]
 dev-pylint = [
-  "pylint == 3.3.8",
+  "pylint == 4.0.4",
   # For checking the noxfile, docs/ script, and tests
   "frequenz-dispatch[dev-mkdocs,dev-noxfile,dev-pytest]",
 ]
diff --git a/src/frequenz/dispatch/_bg_service.py b/src/frequenz/dispatch/_bg_service.py
index f5697ea..3ea9d5f 100644
--- a/src/frequenz/dispatch/_bg_service.py
+++ b/src/frequenz/dispatch/_bg_service.py
@@ -228,7 +228,7 @@ def start(self) -> None:
         """Start the background service."""
         self._tasks.add(asyncio.create_task(self._run()))
 
-    async def _run(self) -> None:
+    async def _run(self) -> None:  # pylint: disable=too-many-branches
         """Run the background service."""
         _logger.info(
             "Starting dispatching background service for microgrid %s",