diff --git a/dask_cuda/tests/test_proxify_host_file.py b/dask_cuda/tests/test_proxify_host_file.py
index 1babaa2c5..0b0f9d5b7 100644
--- a/dask_cuda/tests/test_proxify_host_file.py
+++ b/dask_cuda/tests/test_proxify_host_file.py
@@ -239,7 +239,8 @@ def test_spill_on_demand(root_dir):
 
 
 @pytest.mark.parametrize("jit_unspill", [True, False])
-def test_local_cuda_cluster(jit_unspill):
+@gen_test(timeout=20)
+async def test_local_cuda_cluster(jit_unspill):
     """Testing spilling of a proxied cudf dataframe in a local cuda cluster"""
     cudf = pytest.importorskip("cudf")
     dask_cudf = pytest.importorskip("dask_cudf")
@@ -256,14 +257,17 @@ def task(x):
         return x
 
     # Notice, setting `device_memory_limit=1B` to trigger spilling
-    with dask_cuda.LocalCUDACluster(
-        n_workers=1, device_memory_limit="1B", jit_unspill=jit_unspill
+    async with dask_cuda.LocalCUDACluster(
+        n_workers=1,
+        device_memory_limit="1B",
+        jit_unspill=jit_unspill,
+        asynchronous=True,
     ) as cluster:
-        with Client(cluster):
+        async with Client(cluster, asynchronous=True) as client:
             df = cudf.DataFrame({"a": range(10)})
             ddf = dask_cudf.from_cudf(df, npartitions=1)
             ddf = ddf.map_partitions(task, meta=df.head())
-            got = ddf.compute()
+            got = await client.compute(ddf)
             assert_frame_equal(got.to_pandas(), df.to_pandas())
 
 
@@ -381,15 +385,18 @@ def test_incompatible_types(root_dir):
 
 @pytest.mark.parametrize("npartitions", [1, 2, 3])
 @pytest.mark.parametrize("compatibility_mode", [True, False])
-def test_compatibility_mode_dataframe_shuffle(compatibility_mode, npartitions):
+@gen_test(timeout=20)
+async def test_compatibility_mode_dataframe_shuffle(compatibility_mode, npartitions):
     cudf = pytest.importorskip("cudf")
 
     def is_proxy_object(x):
         return "ProxyObject" in str(type(x))
 
     with dask.config.set(jit_unspill_compatibility_mode=compatibility_mode):
-        with dask_cuda.LocalCUDACluster(n_workers=1, jit_unspill=True) as cluster:
-            with Client(cluster):
+        async with dask_cuda.LocalCUDACluster(
+            n_workers=1, jit_unspill=True, asynchronous=True
+        ) as cluster:
+            async with Client(cluster, asynchronous=True) as client:
                 ddf = dask.dataframe.from_pandas(
                     cudf.DataFrame({"key": np.arange(10)}), npartitions=npartitions
                 )
@@ -397,8 +404,8 @@ def is_proxy_object(x):
 
                 # With compatibility mode on, we shouldn't encounter any proxy objects
                 if compatibility_mode:
-                    assert "ProxyObject" not in str(type(res.compute()))
-                res = res.map_partitions(is_proxy_object).compute()
+                    assert "ProxyObject" not in str(type(await client.compute(res)))
+                res = await client.compute(res.map_partitions(is_proxy_object))
                 res = res.to_list()
 
                 if compatibility_mode:
diff --git a/pyproject.toml b/pyproject.toml
index 7a88741ea..f8d98957a 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -121,6 +121,8 @@ filterwarnings = [
     # tornado 6.2, remove when dask/distributed#6669 is fixed
     "ignore:clear_current is deprecated:DeprecationWarning:",
     "ignore:make_current is deprecated:DeprecationWarning:",
+    # remove after https://github.com/rapidsai/dask-cuda/issues/1087 is closed
+    "ignore:There is no current event loop:DeprecationWarning:tornado",
 ]
 
 [tool.setuptools]