diff --git a/pandas/compat/numpy/__init__.py b/pandas/compat/numpy/__init__.py
index 60ec74553a207..6f31358dabe86 100644
--- a/pandas/compat/numpy/__init__.py
+++ b/pandas/compat/numpy/__init__.py
@@ -9,6 +9,7 @@
 np_version_under1p21 = _nlv < Version("1.21")
 np_version_under1p22 = _nlv < Version("1.22")
 np_version_gte1p22 = _nlv >= Version("1.22")
+np_version_gte1p24 = _nlv >= Version("1.24")
 is_numpy_dev = _nlv.dev is not None
 _min_numpy_ver = "1.20.3"
 
diff --git a/pandas/tests/series/test_constructors.py b/pandas/tests/series/test_constructors.py
index 53b2cbedc0ae3..e4ab5ef596440 100644
--- a/pandas/tests/series/test_constructors.py
+++ b/pandas/tests/series/test_constructors.py
@@ -13,7 +13,11 @@
     iNaT,
     lib,
 )
-from pandas.compat import is_numpy_dev
+from pandas.compat import (
+    IS64,
+    is_numpy_dev,
+)
+from pandas.compat.numpy import np_version_gte1p24
 import pandas.util._test_decorators as td
 
 from pandas.core.dtypes.common import (
@@ -732,6 +736,7 @@ def test_constructor_cast(self):
         with pytest.raises(ValueError, match=msg):
             Series(["a", "b", "c"], dtype=float)
 
+    @pytest.mark.xfail(np_version_gte1p24 and not IS64, reason="GH49777")
     def test_constructor_signed_int_overflow_deprecation(self):
         # GH#41734 disallow silent overflow
         msg = "Values are too large to be losslessly cast"