diff --git a/distributed/nanny.py b/distributed/nanny.py
index 0c4f4172760..863c08e110a 100644
--- a/distributed/nanny.py
+++ b/distributed/nanny.py
@@ -390,17 +390,14 @@ async def start_unsafe(self):
 
         return self
 
-    async def kill(self, timeout: float = 2, reason: str = "nanny-kill") -> None:
+    async def kill(self, timeout: float = 5, reason: str = "nanny-kill") -> None:
         """Kill the local worker process
 
         Blocks until both the process is down and the scheduler is properly
         informed
         """
-        if self.process is None:
-            return
-
-        deadline = time() + timeout
-        await self.process.kill(reason=reason, timeout=0.8 * (deadline - time()))
+        if self.process is not None:
+            await self.process.kill(reason=reason, timeout=0.8 * timeout)
 
     async def instantiate(self) -> Status:
         """Start a local worker process
@@ -822,7 +819,7 @@ def mark_stopped(self):
 
     async def kill(
         self,
-        timeout: float = 2,
+        timeout: float = 5,
         executor_wait: bool = True,
         reason: str = "workerprocess-kill",
     ) -> None:
diff --git a/distributed/tests/test_scheduler.py b/distributed/tests/test_scheduler.py
index 805db3cdbb3..8a1575611f1 100644
--- a/distributed/tests/test_scheduler.py
+++ b/distributed/tests/test_scheduler.py
@@ -53,6 +53,7 @@
     NO_AMM,
     BlockedGatherDep,
     BlockedGetData,
+    BlockedKillNanny,
     BrokenComm,
     NoSchedulerDelayWorker,
     assert_story,
@@ -1132,22 +1133,8 @@ async def test_restart_waits_for_new_workers(c, s, *workers):
     assert set(s.workers.values()).isdisjoint(original_workers.values())
 
 
-class SlowKillNanny(Nanny):
-    def __init__(self, *args, **kwargs):
-        self.kill_proceed = asyncio.Event()
-        self.kill_called = asyncio.Event()
-        super().__init__(*args, **kwargs)
-
-    async def kill(self, *, timeout, reason=None):
-        self.kill_called.set()
-        print("kill called")
-        await wait_for(self.kill_proceed.wait(), timeout)
-        print("kill proceed")
-        return await super().kill(timeout=timeout, reason=reason)
-
-
 @pytest.mark.slow
-@gen_cluster(client=True, Worker=SlowKillNanny, nthreads=[("", 1)] * 2)
+@gen_cluster(client=True, Worker=BlockedKillNanny, nthreads=[("", 1)] * 2)
 async def test_restart_nanny_timeout_exceeded(c, s, a, b):
     try:
         f = c.submit(div, 1, 0)
@@ -1162,8 +1149,8 @@ async def test_restart_nanny_timeout_exceeded(c, s, a, b):
             TimeoutError, match=r"2/2 nanny worker\(s\) did not shut down within 1s"
         ):
             await c.restart(timeout="1s")
-        assert a.kill_called.is_set()
-        assert b.kill_called.is_set()
+        assert a.in_kill.is_set()
+        assert b.in_kill.is_set()
 
         assert not s.workers
         assert not s.erred_tasks
@@ -1175,8 +1162,8 @@ async def test_restart_nanny_timeout_exceeded(c, s, a, b):
         assert f.status == "cancelled"
         assert fr.status == "cancelled"
     finally:
-        a.kill_proceed.set()
-        b.kill_proceed.set()
+        a.wait_kill.set()
+        b.wait_kill.set()
 
 
 @gen_cluster(client=True, nthreads=[("", 1)] * 2)
@@ -1260,7 +1247,7 @@ async def test_restart_some_nannies_some_not(c, s, a, b):
 @gen_cluster(
     client=True,
     nthreads=[("", 1)],
-    Worker=SlowKillNanny,
+    Worker=BlockedKillNanny,
     worker_kwargs={"heartbeat_interval": "1ms"},
 )
 async def test_restart_heartbeat_before_closing(c, s, n):
@@ -1271,13 +1258,13 @@ async def test_restart_heartbeat_before_closing(c, s, n):
     prev_workers = dict(s.workers)
     restart_task = asyncio.create_task(s.restart(stimulus_id="test"))
 
-    await n.kill_called.wait()
+    await n.in_kill.wait()
     await asyncio.sleep(0.5)  # significantly longer than the heartbeat interval
 
     # WorkerState should not be removed yet, because the worker hasn't been told to close
     assert s.workers
 
-    n.kill_proceed.set()
+    n.wait_kill.set()
     # Wait until the worker has left (possibly until it's come back too)
     while s.workers == prev_workers:
         await asyncio.sleep(0.01)