diff --git a/pandas/tests/tseries/offsets/test_offsets_properties.py b/pandas/tests/tseries/offsets/test_offsets_properties.py
index 0fa9081d606b0..8d9b54cf3f0df 100644
--- a/pandas/tests/tseries/offsets/test_offsets_properties.py
+++ b/pandas/tests/tseries/offsets/test_offsets_properties.py
@@ -13,6 +13,7 @@
 from hypothesis.extra.dateutil import timezones as dateutil_timezones
 from hypothesis.extra.pytz import timezones as pytz_timezones
 import pytest
+import pytz
 
 import pandas as pd
 from pandas import Timestamp
@@ -92,7 +93,13 @@ def test_on_offset_implementations(dt, offset):
     # check that the class-specific implementations of is_on_offset match
     # the general case definition:
     #   (dt + offset) - offset == dt
-    compare = (dt + offset) - offset
+    try:
+        compare = (dt + offset) - offset
+    except pytz.NonExistentTimeError:
+        # dt + offset does not exist, assume(False) to indicate
+        #  to hypothesis that this is not a valid test case
+        assume(False)
+
     assert offset.is_on_offset(dt) == (compare == dt)