diff --git a/pandas-stubs/_libs/tslibs/timestamps.pyi b/pandas-stubs/_libs/tslibs/timestamps.pyi
index 78487c209..1e000513c 100644
--- a/pandas-stubs/_libs/tslibs/timestamps.pyi
+++ b/pandas-stubs/_libs/tslibs/timestamps.pyi
@@ -24,6 +24,7 @@ from pandas.core.series import (
     TimestampSeries,
 )
 from typing_extensions import (
+    Never,
     Self,
     TypeAlias,
 )
@@ -146,7 +147,7 @@ class Timestamp(datetime):
     def ctime(self) -> str: ...
     def isoformat(self, sep: str = ..., timespec: str = ...) -> str: ...
     @classmethod
-    def strptime(cls, date_string: str, format: str) -> datetime: ...
+    def strptime(cls, date_string: Never, format: Never) -> Never: ...  # type: ignore[override]
     def utcoffset(self) -> timedelta | None: ...
     def tzname(self) -> str | None: ...
     def dst(self) -> timedelta | None: ...
diff --git a/tests/test_timefuncs.py b/tests/test_timefuncs.py
index a7eae3238..8ed724666 100644
--- a/tests/test_timefuncs.py
+++ b/tests/test_timefuncs.py
@@ -13,7 +13,10 @@
 from numpy import typing as npt
 import pandas as pd
 import pytz
-from typing_extensions import assert_type
+from typing_extensions import (
+    assert_never,
+    assert_type,
+)
 
 from pandas._libs import NaTType
 from pandas._libs.tslibs import BaseOffset
@@ -1122,3 +1125,13 @@ def test_mean_median_std() -> None:
     check(assert_type(s2.mean(), pd.Timestamp), pd.Timestamp)
     check(assert_type(s2.median(), pd.Timestamp), pd.Timestamp)
     check(assert_type(s2.std(), pd.Timedelta), pd.Timedelta)
+
+
+def test_timestamp_strptime_fails():
+    if TYPE_CHECKING_INVALID_USAGE:
+        assert_never(
+            pd.Timestamp.strptime(
+                "2023-02-16",  # type: ignore[arg-type] # pyright: ignore[reportGeneralTypeIssues]
+                "%Y-%M-%D",  # type: ignore[arg-type] # pyright: ignore[reportGeneralTypeIssues]
+            )
+        )