diff --git a/tests/stability/test_spill.py b/tests/stability/test_spill.py
new file mode 100644
index 0000000000..dba00ea7b8
--- /dev/null
+++ b/tests/stability/test_spill.py
@@ -0,0 +1,62 @@
+import uuid
+
+import dask.array as da
+import pytest
+from coiled.v2 import Cluster
+from dask.distributed import Client, wait
+
+
+@pytest.mark.stability
+@pytest.mark.parametrize("keep_around", (True, False))
+def test_spilling(keep_around):
+    with Cluster(
+        name=f"test_spill-{uuid.uuid4().hex}",
+        n_workers=5,
+        worker_disk_size=55,
+        worker_vm_types=["t3.medium"],
+        wait_for_workers=True,
+        environ={
+            # Note: We set allowed-failures to ensure that no tasks are not retried
+            #  upon ungraceful shutdown behavior during adaptive scaling
+            #  but we receive a KilledWorker() instead.
+            "DASK_DISTRIBUTED__SCHEDULER__ALLOWED_FAILURES": "0"
+        },
+    ) as cluster:
+        with Client(cluster) as client:
+            arr = da.random.random((200, 2**27)).persist()  # 200 GiB
+            wait(arr)
+            fut = client.compute(arr.sum())
+            if not keep_around:
+                del arr
+            wait(fut)
+
+
+@pytest.mark.skip(
+    reason="Skip until https://github.com/coiled/feedback/issues/185 is resolved."
+)
+@pytest.mark.stability
+def test_tensordot_stress():
+    with Cluster(
+        name=f"test_spill-{uuid.uuid4().hex}",
+        n_workers=5,
+        worker_disk_size=55,
+        worker_vm_types=["t3.medium"],
+        wait_for_workers=True,
+        environ={
+            # Note: We set allowed-failures to ensure that no tasks are not retried
+            #  upon ungraceful shutdown behavior during adaptive scaling
+            #  but we receive a KilledWorker() instead.
+            "DASK_DISTRIBUTED__SCHEDULER__ALLOWED_FAILURES": "0",
+            # We need to limit the number of connections to avoid getting `oom-killed`.
+            #  See https://github.com/coiled/coiled-runtime/pull/229#discussion_r946807049
+            #  for a longer discussion
+            "DASK_DISTRIBUTED__WORKER__CONNECTIONS__INCOMING": "1",
+            "DASK_DISTRIBUTED__WORKER__CONNECTIONS__OUTGOING": "1",
+        },
+    ) as cluster:
+        with Client(cluster) as client:
+            a = da.random.random((48 * 1024, 48 * 1024))  # 18 GiB
+            b = (a @ a.T).sum().round(3)
+            fut = client.compute(b)
+            wait(fut)
+            assert fut.result()