diff --git a/pandas/tests/scalar/timedelta/test_timedelta.py b/pandas/tests/scalar/timedelta/test_timedelta.py
index b6559385e1597..0dd3a88670ece 100644
--- a/pandas/tests/scalar/timedelta/test_timedelta.py
+++ b/pandas/tests/scalar/timedelta/test_timedelta.py
@@ -14,6 +14,7 @@
     iNaT,
 )
 from pandas._libs.tslibs.dtypes import NpyDatetimeUnit
+from pandas.compat import IS64
 from pandas.errors import OutOfBoundsTimedelta
 
 import pandas as pd
@@ -690,6 +691,7 @@ def test_round_implementation_bounds(self):
         with pytest.raises(OverflowError, match=msg):
             Timedelta.max.ceil("s")
 
+    @pytest.mark.xfail(not IS64, reason="Failing on 32 bit build", strict=False)
     @given(val=st.integers(min_value=iNaT + 1, max_value=lib.i8max))
     @pytest.mark.parametrize(
         "method", [Timedelta.round, Timedelta.floor, Timedelta.ceil]
diff --git a/pandas/tests/scalar/timestamp/test_unary_ops.py b/pandas/tests/scalar/timestamp/test_unary_ops.py
index 2146e32a437a9..cc11037660ad2 100644
--- a/pandas/tests/scalar/timestamp/test_unary_ops.py
+++ b/pandas/tests/scalar/timestamp/test_unary_ops.py
@@ -21,6 +21,7 @@
 )
 from pandas._libs.tslibs.dtypes import NpyDatetimeUnit
 from pandas._libs.tslibs.period import INVALID_FREQ_ERR_MSG
+from pandas.compat import IS64
 import pandas.util._test_decorators as td
 
 import pandas._testing as tm
@@ -297,6 +298,7 @@ def test_round_implementation_bounds(self):
         with pytest.raises(OverflowError, match=msg):
             Timestamp.max.ceil("s")
 
+    @pytest.mark.xfail(not IS64, reason="Failing on 32 bit build", strict=False)
     @given(val=st.integers(iNaT + 1, lib.i8max))
     @pytest.mark.parametrize(
         "method", [Timestamp.round, Timestamp.floor, Timestamp.ceil]