diff --git a/dask_cuda/local_cuda_cluster.py b/dask_cuda/local_cuda_cluster.py
index a82d59055..e84dce0c7 100644
--- a/dask_cuda/local_cuda_cluster.py
+++ b/dask_cuda/local_cuda_cluster.py
@@ -3,7 +3,6 @@
 import os
 import warnings
 from functools import partial
-from typing import Literal
 
 import dask
 from distributed import LocalCluster, Nanny, Worker
@@ -23,13 +22,6 @@
 )
 
 
-class IncreasedCloseTimeoutNanny(Nanny):
-    async def close(  # type:ignore[override]
-        self, timeout: float = 10.0, reason: str = "nanny-close"
-    ) -> Literal["OK"]:
-        return await super().close(timeout=timeout, reason=reason)
-
-
 class LoggedWorker(Worker):
     def __init__(self, *args, **kwargs):
         super().__init__(*args, **kwargs)
@@ -39,7 +31,7 @@ async def start(self):
         self.data.set_address(self.address)
 
 
-class LoggedNanny(IncreasedCloseTimeoutNanny):
+class LoggedNanny(Nanny):
     def __init__(self, *args, **kwargs):
         super().__init__(*args, worker_class=LoggedWorker, **kwargs)
 
@@ -341,7 +333,7 @@ def __init__(
         )
 
         worker_class = partial(
-            LoggedNanny if log_spilling is True else IncreasedCloseTimeoutNanny,
+            LoggedNanny if log_spilling is True else Nanny,
             worker_class=worker_class,
         )
 
diff --git a/dask_cuda/utils_test.py b/dask_cuda/utils_test.py
index 42582d7f8..aba77ee79 100644
--- a/dask_cuda/utils_test.py
+++ b/dask_cuda/utils_test.py
@@ -1,5 +1,7 @@
+from typing import Literal
+
 import distributed
-from distributed import Worker
+from distributed import Nanny, Worker
 
 
 class MockWorker(Worker):
@@ -21,3 +23,23 @@ def __del__(self):
     @staticmethod
     def device_get_count():
         return 0
+
+
+class IncreasedCloseTimeoutNanny(Nanny):
+    """Increase `Nanny`'s close timeout.
+
+    The internal close timeout mechanism of `Nanny` recomputes the time left to kill
+    the `Worker` process based on elapsed time of the close task, which may leave
+    very little time for the subprocess to shutdown cleanly, which may cause tests
+    to fail when the system is under higher load. This class increases the default
+    close timeout of 5.0 seconds that `Nanny` sets by default, which can be overriden
+    via Distributed's public API.
+
+    This class can be used with the `worker_class` argument of `LocalCluster` or
+    `LocalCUDACluster` to provide a much higher default of 30.0 seconds.
+    """
+
+    async def close(  # type:ignore[override]
+        self, timeout: float = 30.0, reason: str = "nanny-close"
+    ) -> Literal["OK"]:
+        return await super().close(timeout=timeout, reason=reason)