diff --git a/swh/scheduler/__init__.py b/swh/scheduler/__init__.py
--- a/swh/scheduler/__init__.py
+++ b/swh/scheduler/__init__.py
@@ -13,7 +13,7 @@
     "scheduler": (
         "dict",
         {
-            "cls": "local",
+            "cls": "postgresql",
             "db": "dbname=softwareheritage-scheduler-dev",
         },
     )
diff --git a/swh/scheduler/api/server.py b/swh/scheduler/api/server.py
--- a/swh/scheduler/api/server.py
+++ b/swh/scheduler/api/server.py
@@ -112,9 +112,9 @@
 
     if type == "local":
         cls = vcfg.get("cls")
-        if cls != "local":
+        if cls not in ("local", "postgresql"):
             raise ValueError(
-                "The scheduler backend can only be started with a 'local' "
+                "The scheduler backend can only be started with a 'postgresql' "
                 "configuration"
             )
 
diff --git a/swh/scheduler/celery_backend/pika_listener.py b/swh/scheduler/celery_backend/pika_listener.py
--- a/swh/scheduler/celery_backend/pika_listener.py
+++ b/swh/scheduler/celery_backend/pika_listener.py
@@ -104,7 +104,9 @@
 if __name__ == "__main__":
     url = sys.argv[1]
     logging.basicConfig(level=logging.DEBUG)
-    scheduler_backend = get_scheduler("local", args={"db": "service=swh-scheduler"})
+    scheduler_backend = get_scheduler(
+        "postgresql", args={"db": "service=swh-scheduler"}
+    )
     channel = get_listener(url, "celeryev.test", scheduler_backend)
     logger.info("Start consuming")
     channel.start_consuming()
diff --git a/swh/scheduler/celery_backend/runner.py b/swh/scheduler/celery_backend/runner.py
--- a/swh/scheduler/celery_backend/runner.py
+++ b/swh/scheduler/celery_backend/runner.py
@@ -172,7 +172,7 @@
     for module in main_app.conf.CELERY_IMPORTS:
         __import__(module)
 
-    main_backend = get_scheduler("local")
+    main_backend = get_scheduler("postgresql")
     try:
         run_ready_tasks(main_backend, main_app)
     except Exception:
diff --git a/swh/scheduler/cli/__init__.py b/swh/scheduler/cli/__init__.py
--- a/swh/scheduler/cli/__init__.py
+++ b/swh/scheduler/cli/__init__.py
@@ -33,7 +33,7 @@
     "--database",
     "-d",
     default=None,
-    help="Scheduling database DSN (imply cls is 'local')",
+    help="Scheduling database DSN (imply cls is 'postgresql')",
 )
 @click.option(
     "--url", "-u", default=None, help="Scheduler's url access (imply cls is 'remote')"
@@ -67,7 +67,7 @@
         raise ValueError("missing 'scheduler' configuration")
 
     if database:
-        conf["scheduler"]["cls"] = "local"
+        conf["scheduler"]["cls"] = "postgresql"
         conf["scheduler"]["db"] = database
     elif url:
         conf["scheduler"]["cls"] = "remote"
diff --git a/swh/scheduler/pytest_plugin.py b/swh/scheduler/pytest_plugin.py
--- a/swh/scheduler/pytest_plugin.py
+++ b/swh/scheduler/pytest_plugin.py
@@ -44,7 +44,7 @@
 
 @pytest.fixture
 def swh_scheduler(swh_scheduler_config):
-    scheduler = get_scheduler("local", **swh_scheduler_config)
+    scheduler = get_scheduler("postgresql", **swh_scheduler_config)
     for taskname in TASK_NAMES:
         scheduler.create_task_type(
             {
diff --git a/swh/scheduler/tests/test_cli_journal.py b/swh/scheduler/tests/test_cli_journal.py
--- a/swh/scheduler/tests/test_cli_journal.py
+++ b/swh/scheduler/tests/test_cli_journal.py
@@ -22,7 +22,7 @@
     """Journal client configuration ready"""
     return {
         "scheduler": {
-            "cls": "local",
+            "cls": "postgresql",
             "db": postgresql_scheduler.dsn,
         },
         "journal": {
diff --git a/swh/scheduler/tests/test_init.py b/swh/scheduler/tests/test_init.py
--- a/swh/scheduler/tests/test_init.py
+++ b/swh/scheduler/tests/test_init.py
@@ -14,7 +14,7 @@
 
 SERVER_IMPLEMENTATIONS = [
     ("remote", RemoteScheduler, {"url": "localhost"}),
-    ("local", SchedulerBackend, {"db": "something"}),
+    ("postgresql", SchedulerBackend, {"db": "something"}),
 ]
 
 
diff --git a/swh/scheduler/tests/test_recurrent_visits.py b/swh/scheduler/tests/test_recurrent_visits.py
--- a/swh/scheduler/tests/test_recurrent_visits.py
+++ b/swh/scheduler/tests/test_recurrent_visits.py
@@ -169,7 +169,7 @@
 
 @pytest.fixture
 def scheduler_config(swh_scheduler_config):
-    return {"scheduler": {"cls": "local", **swh_scheduler_config}, "celery": {}}
+    return {"scheduler": {"cls": "postgresql", **swh_scheduler_config}, "celery": {}}
 
 
 def test_visit_scheduler_thread_unknown_task(
diff --git a/swh/scheduler/tests/test_server.py b/swh/scheduler/tests/test_server.py
--- a/swh/scheduler/tests/test_server.py
+++ b/swh/scheduler/tests/test_server.py
@@ -58,7 +58,7 @@
     config = {"scheduler": {"cls": "remote"}}
     config_path = prepare_config_file(tmpdir, config)
     expected_error = (
-        "The scheduler backend can only be started with a 'local'" " configuration"
+        "The scheduler backend can only be started with a 'postgresql'" " configuration"
     )
     with pytest.raises(ValueError, match=expected_error):
         load_and_check_config(config_path, type="local")
@@ -68,7 +68,7 @@
     """Incomplete 'local' configuration should raise"""
     config = {
         "scheduler": {
-            "cls": "local",
+            "cls": "postgresql",
             "something": "needed-for-test",
         }
     }
@@ -83,7 +83,7 @@
     """Local configuration is fine"""
     config = {
         "scheduler": {
-            "cls": "local",
+            "cls": "postgresql",
             "db": "db",
         }
     }