diff --git a/tests/ert/unit_tests/scheduler/test_lsf_driver.py b/tests/ert/unit_tests/scheduler/test_lsf_driver.py
index 51167bcbce3..de46f623c38 100644
--- a/tests/ert/unit_tests/scheduler/test_lsf_driver.py
+++ b/tests/ert/unit_tests/scheduler/test_lsf_driver.py
@@ -1326,7 +1326,10 @@ async def finished(iens: int, returncode: int):
         # detail we do not want to track.
         assert returncode in (SIGTERM, SIGNAL_OFFSET + SIGTERM, LSF_FAILED_JOB)
 
+        if returncode != LSF_FAILED_JOB:
+            # We will only see the was_killed file if a compute node
+            # got a chance to start to job script:
+            wait_until((tmp_path / "was_killed").exists, timeout=4)
+
     await poll(driver, {0}, finished=finished)
     assert "ERROR" not in str(caplog.text)
-
-    wait_until((tmp_path / "was_killed").exists, timeout=10)