diff --git a/pandas/tests/window/test_api.py b/pandas/tests/window/test_api.py
index 2c3d8b4608806..28e27791cad35 100644
--- a/pandas/tests/window/test_api.py
+++ b/pandas/tests/window/test_api.py
@@ -6,7 +6,7 @@
 import pandas.util._test_decorators as td
 
 import pandas as pd
-from pandas import DataFrame, Index, Series, Timestamp, concat
+from pandas import DataFrame, Index, Series, Timestamp, compat, concat
 import pandas._testing as tm
 from pandas.core.base import SpecificationError
 
@@ -277,7 +277,7 @@ def test_preserve_metadata():
 @pytest.mark.parametrize(
     "func,window_size,expected_vals",
     [
-        (
+        pytest.param(
             "rolling",
             2,
             [
@@ -289,6 +289,7 @@ def test_preserve_metadata():
                 [35.0, 40.0, 60.0, 40.0],
                 [60.0, 80.0, 85.0, 80],
             ],
+            marks=pytest.mark.xfail(not compat.IS64, reason="GH-35294"),
         ),
         (
             "expanding",
diff --git a/pandas/tests/window/test_apply.py b/pandas/tests/window/test_apply.py
index bc38634da8941..2aaf6af103e98 100644
--- a/pandas/tests/window/test_apply.py
+++ b/pandas/tests/window/test_apply.py
@@ -4,7 +4,7 @@
 from pandas.errors import NumbaUtilError
 import pandas.util._test_decorators as td
 
-from pandas import DataFrame, Index, MultiIndex, Series, Timestamp, date_range
+from pandas import DataFrame, Index, MultiIndex, Series, Timestamp, compat, date_range
 import pandas._testing as tm
 
 
@@ -142,6 +142,7 @@ def test_invalid_kwargs_nopython():
 
 
 @pytest.mark.parametrize("args_kwargs", [[None, {"par": 10}], [(10,), None]])
+@pytest.mark.xfail(not compat.IS64, reason="GH-35294")
 def test_rolling_apply_args_kwargs(args_kwargs):
     # GH 33433
     def foo(x, par):
diff --git a/pandas/tests/window/test_grouper.py b/pandas/tests/window/test_grouper.py
index 5b2687271f9d6..744ca264e91d9 100644
--- a/pandas/tests/window/test_grouper.py
+++ b/pandas/tests/window/test_grouper.py
@@ -2,7 +2,7 @@
 import pytest
 
 import pandas as pd
-from pandas import DataFrame, Series
+from pandas import DataFrame, Series, compat
 import pandas._testing as tm
 from pandas.core.groupby.groupby import get_groupby
 
@@ -23,6 +23,7 @@ def test_mutated(self):
         g = get_groupby(self.frame, by="A", mutated=True)
         assert g.mutated
 
+    @pytest.mark.xfail(not compat.IS64, reason="GH-35294")
     def test_getitem(self):
         g = self.frame.groupby("A")
         g_mutated = get_groupby(self.frame, by="A", mutated=True)
@@ -55,6 +56,7 @@ def test_getitem_multiple(self):
         result = r.B.count()
         tm.assert_series_equal(result, expected)
 
+    @pytest.mark.xfail(not compat.IS64, reason="GH-35294")
     def test_rolling(self):
         g = self.frame.groupby("A")
         r = g.rolling(window=4)
@@ -72,6 +74,7 @@ def test_rolling(self):
     @pytest.mark.parametrize(
         "interpolation", ["linear", "lower", "higher", "midpoint", "nearest"]
     )
+    @pytest.mark.xfail(not compat.IS64, reason="GH-35294")
     def test_rolling_quantile(self, interpolation):
         g = self.frame.groupby("A")
         r = g.rolling(window=4)
@@ -102,6 +105,7 @@ def func(x):
             expected = g.apply(func)
             tm.assert_series_equal(result, expected)
 
+    @pytest.mark.xfail(not compat.IS64, reason="GH-35294")
     def test_rolling_apply(self, raw):
         g = self.frame.groupby("A")
         r = g.rolling(window=4)
@@ -111,6 +115,7 @@ def test_rolling_apply(self, raw):
         expected = g.apply(lambda x: x.rolling(4).apply(lambda y: y.sum(), raw=raw))
         tm.assert_frame_equal(result, expected)
 
+    @pytest.mark.xfail(not compat.IS64, reason="GH-35294")
     def test_rolling_apply_mutability(self):
         # GH 14013
         df = pd.DataFrame({"A": ["foo"] * 3 + ["bar"] * 3, "B": [1] * 6})
@@ -192,6 +197,7 @@ def test_expanding_apply(self, raw):
         tm.assert_frame_equal(result, expected)
 
     @pytest.mark.parametrize("expected_value,raw_value", [[1.0, True], [0.0, False]])
+    @pytest.mark.xfail(not compat.IS64, reason="GH-35294")
     def test_groupby_rolling(self, expected_value, raw_value):
         # GH 31754
 
diff --git a/pandas/tests/window/test_timeseries_window.py b/pandas/tests/window/test_timeseries_window.py
index 8aa4d7103e48a..90f919d5565b0 100644
--- a/pandas/tests/window/test_timeseries_window.py
+++ b/pandas/tests/window/test_timeseries_window.py
@@ -7,6 +7,7 @@
     MultiIndex,
     Series,
     Timestamp,
+    compat,
     date_range,
     to_datetime,
 )
@@ -656,6 +657,7 @@ def agg_by_day(x):
 
             tm.assert_frame_equal(result, expected)
 
+    @pytest.mark.xfail(not compat.IS64, reason="GH-35294")
     def test_groupby_monotonic(self):
 
         # GH 15130
@@ -685,6 +687,7 @@ def test_groupby_monotonic(self):
         result = df.groupby("name").rolling("180D", on="date")["amount"].sum()
         tm.assert_series_equal(result, expected)
 
+    @pytest.mark.xfail(not compat.IS64, reason="GH-35294")
     def test_non_monotonic(self):
         # GH 13966 (similar to #15130, closed by #15175)