diff --git a/doc/source/whatsnew/v3.0.0.rst b/doc/source/whatsnew/v3.0.0.rst
index de69166b8c196..03e64319ff791 100644
--- a/doc/source/whatsnew/v3.0.0.rst
+++ b/doc/source/whatsnew/v3.0.0.rst
@@ -649,6 +649,7 @@ Conversion
 - Bug in :meth:`DataFrame.update` bool dtype being converted to object (:issue:`55509`)
 - Bug in :meth:`Series.astype` might modify read-only array inplace when casting to a string dtype (:issue:`57212`)
 - Bug in :meth:`Series.reindex` not maintaining ``float32`` type when a ``reindex`` introduces a missing value (:issue:`45857`)
+- Bug in :meth: 'Series.convert_dtype' strips the timezone on an already Timezone aware pyarrow timestamp dtype (:issue:'60237')
 
 Strings
 ^^^^^^^
diff --git a/pandas/core/dtypes/dtypes.py b/pandas/core/dtypes/dtypes.py
index 96b0aa16940a6..4ccbcda3c33d3 100644
--- a/pandas/core/dtypes/dtypes.py
+++ b/pandas/core/dtypes/dtypes.py
@@ -2277,21 +2277,7 @@ def name(self) -> str:  # type: ignore[override]
     @cache_readonly
     def numpy_dtype(self) -> np.dtype:
         """Return an instance of the related numpy dtype"""
-        if pa.types.is_timestamp(self.pyarrow_dtype):
-            # pa.timestamp(unit).to_pandas_dtype() returns ns units
-            # regardless of the pyarrow timestamp units.
-            # This can be removed if/when pyarrow addresses it:
-            # https://github.com/apache/arrow/issues/34462
-            return np.dtype(f"datetime64[{self.pyarrow_dtype.unit}]")
-        if pa.types.is_duration(self.pyarrow_dtype):
-            # pa.duration(unit).to_pandas_dtype() returns ns units
-            # regardless of the pyarrow duration units
-            # This can be removed if/when pyarrow addresses it:
-            # https://github.com/apache/arrow/issues/34462
-            return np.dtype(f"timedelta64[{self.pyarrow_dtype.unit}]")
-        if pa.types.is_string(self.pyarrow_dtype) or pa.types.is_large_string(
-            self.pyarrow_dtype
-        ):
+        if pa.types.is_string(self.pyarrow_dtype):
             # pa.string().to_pandas_dtype() = object which we don't want
             return np.dtype(str)
         try:
diff --git a/pandas/tests/frame/methods/test_convert_dtypes.py b/pandas/tests/frame/methods/test_convert_dtypes.py
index e7f6e5d625d3e..2c8d30d8e9642 100644
--- a/pandas/tests/frame/methods/test_convert_dtypes.py
+++ b/pandas/tests/frame/methods/test_convert_dtypes.py
@@ -196,3 +196,13 @@ def test_convert_dtypes_from_arrow(self):
         result = df.convert_dtypes()
         expected = df.astype({"a": "string[python]"})
         tm.assert_frame_equal(result, expected)
+
+    def test_convert_dtypes_timezone_series(self):
+        # GH#60237
+        df = pd.Series(
+            pd.to_datetime(range(5), utc=True, unit="h"),
+            dtype="timestamp[ns, tz=UTC][pyarrow]",
+        )
+        result = df.convert_dtypes(dtype_backend="pyarrow")
+        expected = df
+        tm.assert_series_equal(result, expected)