diff --git a/doc/source/whatsnew/v2.0.0.rst b/doc/source/whatsnew/v2.0.0.rst
index 0e6d1029d352b..8c3b8cc573096 100644
--- a/doc/source/whatsnew/v2.0.0.rst
+++ b/doc/source/whatsnew/v2.0.0.rst
@@ -652,6 +652,8 @@ Conversion
 - Bug where any :class:`ExtensionDtype` subclass with ``kind="M"`` would be interpreted as a timezone type (:issue:`34986`)
 - Bug in :class:`.arrays.ArrowExtensionArray` that would raise ``NotImplementedError`` when passed a sequence of strings or binary (:issue:`49172`)
 - Bug in :func:`to_datetime` was not respecting ``exact`` argument when ``format`` was an ISO8601 format (:issue:`12649`)
+- Bug in :meth:`TimedeltaArray.astype` raising ``TypeError`` when converting to a pyarrow duration type (:issue:`49795`)
+-
 
 Strings
 ^^^^^^^
diff --git a/pandas/core/arrays/timedeltas.py b/pandas/core/arrays/timedeltas.py
index fe7cade1711d0..4f9f1820923da 100644
--- a/pandas/core/arrays/timedeltas.py
+++ b/pandas/core/arrays/timedeltas.py
@@ -317,7 +317,7 @@ def astype(self, dtype, copy: bool = True):
         # DatetimeLikeArrayMixin super call handles other cases
         dtype = pandas_dtype(dtype)
 
-        if dtype.kind == "m":
+        if isinstance(dtype, np.dtype) and dtype.kind == "m":
             if dtype == self.dtype:
                 if copy:
                     return self.copy()
diff --git a/pandas/tests/extension/test_arrow.py b/pandas/tests/extension/test_arrow.py
index d094a7731c417..4e1ba89170711 100644
--- a/pandas/tests/extension/test_arrow.py
+++ b/pandas/tests/extension/test_arrow.py
@@ -1369,3 +1369,12 @@ def test_pickle_roundtrip(data):
 
     result_sliced = pickle.loads(sliced_pickled)
     tm.assert_series_equal(result_sliced, expected_sliced)
+
+
+def test_astype_from_non_pyarrow(data):
+    # GH49795
+    pd_array = data._data.to_pandas().array
+    result = pd_array.astype(data.dtype)
+    assert not isinstance(pd_array.dtype, ArrowDtype)
+    assert isinstance(result.dtype, ArrowDtype)
+    tm.assert_extension_array_equal(result, data)