diff --git a/pandas/tests/tseries/offsets/test_common.py b/pandas/tests/tseries/offsets/test_common.py
index 3792878973c15e..31c8e4787a8212 100644
--- a/pandas/tests/tseries/offsets/test_common.py
+++ b/pandas/tests/tseries/offsets/test_common.py
@@ -9,6 +9,7 @@
 )
 from pandas.compat import (
     IS64,
+    WASM,
     is_platform_windows,
 )
 
@@ -130,7 +131,7 @@ def test_apply_out_of_range(request, tz_naive_fixture, _offset):
         if tz is not None:
             assert t.tzinfo is not None
 
-        if isinstance(tz, tzlocal) and not IS64 and _offset is not DateOffset:
+        if isinstance(tz, tzlocal) and not IS64 or WASM and _offset is not DateOffset:
             # If we hit OutOfBoundsDatetime on non-64 bit machines
             # we'll drop out of the try clause before the next test
             request.applymarker(