diff --git a/swh/scheduler/simulator/__init__.py b/swh/scheduler/simulator/__init__.py
--- a/swh/scheduler/simulator/__init__.py
+++ b/swh/scheduler/simulator/__init__.py
@@ -54,6 +54,12 @@
         yield env.process(load_task_process(env, task, status_queue=status_queue))
 
 
+def heartbeat(env: Environment) -> Generator[Event, None, None]:
+    while True:
+        logger.info("Simulation time: %s", env.time)
+        yield env.timeout(3600 * 24)
+
+
 def setup(
     env: Environment,
     scheduler_type: str,
@@ -103,6 +109,7 @@
     lister = env.scheduler.get_or_create_lister(name="example")
     assert lister.id
     env.process(lister_process(env, lister.id))
+    env.process(heartbeat(env))
 
 
 def fill_test_data(scheduler: SchedulerInterface, num_origins: int = 100000):