diff --git a/tests/test_native_tool_timeout.py b/tests/test_native_tool_timeout.py
index 95bac8d66..c28cd201b 100644
--- a/tests/test_native_tool_timeout.py
+++ b/tests/test_native_tool_timeout.py
@@ -181,7 +181,7 @@ def test_inherited_dispatch_deadline_narrows_the_tool_wait(repo, monkeypatch):
     receipt = result.usage["native_tool_receipts"][0]
     assert receipt["outcome"] == "error" and receipt["source_gap"] == "native_tool_abandoned"
     bound = float(_tool_messages(llm)[0]["content"].split("exceeded ")[1].split("s limit")[0])
-    assert 0 < bound <= 0.4
+    assert 0 < bound <= 0.4 + 1e-6  # a coarse clock can return the deadline itself
     release.set()
 
     release_again, _holder_again = _install_registry(monkeypatch, hold_sec=3.0)
diff --git a/tests/test_supervisor_loop_measurements.py b/tests/test_supervisor_loop_measurements.py
index e165d580d..d90c13d04 100644
--- a/tests/test_supervisor_loop_measurements.py
+++ b/tests/test_supervisor_loop_measurements.py
@@ -16,6 +16,7 @@ import logging
 import re
 import threading
 import time
+from pathlib import Path
 
 import pytest
 
@@ -107,7 +108,7 @@ def test_stall_row_carries_phase_cpu_and_event_lag(monkeypatch, journal):
         _stop_watchdog(stop)
     stalls = [row for _path, row in journal if row["type"] == "supervisor_loop_stall"]
     assert len(stalls) == 1, journal
-    assert journal[0][0].endswith("logs/supervisor.jsonl")
+    assert Path(journal[0][0]).parts[-2:] == ("logs", "supervisor.jsonl")
     row = stalls[0]
     assert row["stalled_sec"] == pytest.approx(100.0, abs=1.0)
     assert row["phase"] == "maintenance"