diff --git a/test/int/procstar/ignore-term b/test/int/procstar/ignore-term
index 71c3fd6a..3502cfc5 100755
--- a/test/int/procstar/ignore-term
+++ b/test/int/procstar/ignore-term
@@ -3,6 +3,7 @@
 from   argparse import ArgumentParser
 import signal
 import time
+import sys
 
 parser = ArgumentParser()
 parser.add_argument("sleep", metavar="SECS", type=float)
@@ -10,11 +11,11 @@ args = parser.parse_args()
 
 def sigterm(signum, frame):
     sig = signal.Signals(signum)
-    print(f"ignoring {sig.name}")
+    print(f"ignoring {sig.name}", file=sys.stderr)
 
 signal.signal(signal.Signals.SIGTERM, sigterm)
 
-print(f"sleeping for {args.sleep} sec")
+print(f"sleeping for {args.sleep} sec", file=sys.stderr)
 time.sleep(args.sleep)
-print("done")
+print("done", file=sys.stderr)
 
diff --git a/test/int/procstar/test_stop.py b/test/int/procstar/test_stop.py
index dea2010a..4917e65d 100644
--- a/test/int/procstar/test_stop.py
+++ b/test/int/procstar/test_stop.py
@@ -6,10 +6,16 @@
 
 #-------------------------------------------------------------------------------
 
-IGNORE_TERM_PATH = Path(__file__).parent / "ignore-term"
+SLEEP_JOB = jso_to_job({
+    "params": ["time"],
+    "program": {
+        "type": "procstar",
+        "argv": ["/usr/bin/sleep", "{{ time }}"],
+    }
+}, "sleep")
 
-JOB_ID = "ignore term"
-JOB = jso_to_job({
+IGNORE_TERM_PATH = Path(__file__).parent / "ignore-term"
+IGNORE_TERM_JOB = jso_to_job({
     "params": ["time"],
     "program": {
         "type": "procstar",
@@ -18,14 +24,36 @@
             "grace_period": 2,
         },
     }
-}, JOB_ID)
+}, "ignore term")
+
+def test_stop():
+    svc = ApsisService()
+    dump_job(svc.jobs_dir, SLEEP_JOB)
+    with svc, svc.agent():
+        # Schedule a 3 sec job but tell Apsis to stop it after 1 sec.
+        run_id = svc.client.schedule(
+            SLEEP_JOB.job_id, {"time": "3"},
+            stop_time="+1s",
+        )["run_id"]
+        res = svc.wait_run(run_id)
+
+        # The run was successfully stopped by Apsis, by sending it SIGTERM.
+        assert res["state"] == "success"
+        meta = res["meta"]["program"]
+        assert meta["status"]["signal"] == "SIGTERM"
+        assert meta["stop"]["signals"] == ["SIGTERM"]
+        assert meta["times"]["elapsed"] < 2
+
 
 def test_dont_stop():
     svc = ApsisService()
-    dump_job(svc.jobs_dir, JOB)
+    dump_job(svc.jobs_dir, IGNORE_TERM_JOB)
     with svc, svc.agent():
         # Schedule a 1 sec run but tell Apsis to stop it after 3 sec.
-        run_id = svc.client.schedule(JOB_ID, {"time": "1"}, stop_time="+3s")["run_id"]
+        run_id = svc.client.schedule(
+            IGNORE_TERM_JOB.job_id, {"time": "1"},
+            stop_time="+3s"
+        )["run_id"]
         res = svc.wait_run(run_id)
 
         assert res["state"] == "success"
@@ -37,12 +65,15 @@ def test_dont_stop():
 
 def test_kill():
     svc = ApsisService()
-    dump_job(svc.jobs_dir, JOB)
+    dump_job(svc.jobs_dir, IGNORE_TERM_JOB)
     with svc, svc.agent():
         # Schedule a 5 sec run but tell Apsis to stop it after 1 sec.  The
         # process ignores SIGTERM so Apsis will send SIGQUIT after the grace
         # period.
-        run_id = svc.client.schedule(JOB_ID, {"time": "5"}, stop_time="+1s")["run_id"]
+        run_id = svc.client.schedule(
+            IGNORE_TERM_JOB.job_id, {"time": "5"},
+            stop_time="+1s"
+        )["run_id"]
 
         time.sleep(1.5)
         res = svc.client.get_run(run_id)
@@ -57,4 +88,8 @@ def test_kill():
         assert meta["stop"]["signals"] == ["SIGTERM", "SIGKILL"]
         assert meta["times"]["elapsed"] > 2.8
 
+        output = svc.client.get_output(run_id, "output").decode()
+        assert "ignoring SIGTERM" in output
+        assert "done" not in output
+