diff --git a/arq/worker.py b/arq/worker.py
index b19a3f78..81afd5b7 100644
--- a/arq/worker.py
+++ b/arq/worker.py
@@ -382,14 +382,14 @@ async def _poll_iteration(self) -> None:
 
             await self.start_jobs(job_ids)
 
-            if self.allow_abort_jobs:
-                await self._cancel_aborted_jobs()
-
-            for job_id, t in list(self.tasks.items()):
-                if t.done():
-                    del self.tasks[job_id]
-                    # required to make sure errors in run_job get propagated
-                    t.result()
+        if self.allow_abort_jobs:
+            await self._cancel_aborted_jobs()
+
+        for job_id, t in list(self.tasks.items()):
+            if t.done():
+                del self.tasks[job_id]
+                # required to make sure errors in run_job get propagated
+                t.result()
 
         await self.heart_beat()
 
diff --git a/tests/test_worker.py b/tests/test_worker.py
index 28a9fda0..aa56085b 100644
--- a/tests/test_worker.py
+++ b/tests/test_worker.py
@@ -116,19 +116,23 @@ async def test_worker_signal_completes_job_before_shutting_down(caplog, arq_redi
     async def sleep_job(ctx, time):
         await asyncio.sleep(time)
 
-    await arq_redis.enqueue_job('sleep_job', 0.2, _job_id='short_sleep')  # should be cancelled
+    await arq_redis.enqueue_job('sleep_job', 0.2, _job_id='short_sleep')  # should be completed
     await arq_redis.enqueue_job('sleep_job', 5, _job_id='long_sleep')  # should be cancelled
     worker = worker(
         functions=[func(sleep_job, name='sleep_job', max_tries=1)],
-        job_completion_wait=0.4,
+        job_completion_wait=0.5,
         job_timeout=10,
     )
     assert worker.jobs_complete == 0
     asyncio.create_task(worker.main())
     await asyncio.sleep(0.1)
     worker.handle_sig_wait_for_completion(signal.SIGINT)
+    assert len(worker.tasks) == 2  # should be two tasks when sigint is sent
     assert worker.allow_pick_jobs is False
-    await asyncio.sleep(0.5)
+    await asyncio.sleep(0.3)
+    assert len(worker.tasks) == 1  # slept a bit, first job should now be complete and self.tasks should be updated
+    await asyncio.sleep(0.3)
+    assert len(worker.tasks) == 0  # slept longer than `job_completion_wait`, task should be cancelled and updated
     logs = [rec.message for rec in caplog.records]
     assert 'shutdown on SIGINT ◆ 0 jobs complete ◆ 0 failed ◆ 0 retries ◆ 2 to be completed' in logs
     assert 'shutdown on SIGINT, wait complete ◆ 1 jobs complete ◆ 0 failed ◆ 0 retries ◆ 1 ongoing to cancel' in logs