diff --git a/doc/source/whatsnew/v1.4.0.rst b/doc/source/whatsnew/v1.4.0.rst
index 37e4c9a1378d1..c7545ed38085f 100644
--- a/doc/source/whatsnew/v1.4.0.rst
+++ b/doc/source/whatsnew/v1.4.0.rst
@@ -548,7 +548,7 @@ Datetimelike
 - Bug in constructing a :class:`Series` from datetime-like strings with mixed timezones incorrectly partially-inferring datetime values (:issue:`40111`)
 - Bug in addition with a :class:`Tick` object and a ``np.timedelta64`` object incorrectly raising instead of returning :class:`Timedelta` (:issue:`44474`)
 - Bug in adding a ``np.timedelta64`` object to a :class:`BusinessDay` or :class:`CustomBusinessDay` object incorrectly raising (:issue:`44532`)
-- Bug in :meth:`Index.insert` for inserting ``np.datetime64``, ``np.timedelta64`` or ``tuple`` into :class:`Index` with ``dtype='object'`` with negative loc addine ``None`` and replacing existing value (:issue:`44509`)
+- Bug in :meth:`Index.insert` for inserting ``np.datetime64``, ``np.timedelta64`` or ``tuple`` into :class:`Index` with ``dtype='object'`` with negative loc adding ``None`` and replacing existing value (:issue:`44509`)
 -
 
 Timedelta
@@ -616,6 +616,7 @@ Indexing
 - Bug when setting string-backed :class:`Categorical` values that can be parsed to datetimes into a :class:`DatetimeArray` or :class:`Series` or :class:`DataFrame` column backed by :class:`DatetimeArray` failing to parse these strings (:issue:`44236`)
 - Bug in :meth:`Series.__setitem__` with an integer dtype other than ``int64`` setting with a ``range`` object unnecessarily upcasting to ``int64`` (:issue:`44261`)
 - Bug in :meth:`Series.__setitem__` with a boolean mask indexer setting a listlike value of length 1 incorrectly broadcasting that value (:issue:`44265`)
+- Bug in :meth:`Series.reset_index` not ignoring ``name`` argument when ``drop`` and ``inplace`` are set to ``True`` (:issue:`44575`)
 - Bug in :meth:`DataFrame.loc.__setitem__` and :meth:`DataFrame.iloc.__setitem__` with mixed dtypes sometimes failing to operate in-place (:issue:`44345`)
 - Bug in :meth:`DataFrame.loc.__getitem__` incorrectly raising ``KeyError`` when selecting a single column with a boolean key (:issue:`44322`).
 
diff --git a/pandas/core/series.py b/pandas/core/series.py
index f0f5bd7c3e2b2..93a68ef3703fd 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -1449,9 +1449,6 @@ def reset_index(self, level=None, drop=False, name=lib.no_default, inplace=False
         """
         inplace = validate_bool_kwarg(inplace, "inplace")
         if drop:
-            if name is lib.no_default:
-                name = self.name
-
             new_index = default_index(len(self))
             if level is not None:
                 if not isinstance(level, (tuple, list)):
@@ -1462,8 +1459,6 @@ def reset_index(self, level=None, drop=False, name=lib.no_default, inplace=False
 
             if inplace:
                 self.index = new_index
-                # set name if it was passed, otherwise, keep the previous name
-                self.name = name or self.name
             else:
                 return self._constructor(
                     self._values.copy(), index=new_index
diff --git a/pandas/tests/series/methods/test_reset_index.py b/pandas/tests/series/methods/test_reset_index.py
index b159317bf813b..f38491508cc23 100644
--- a/pandas/tests/series/methods/test_reset_index.py
+++ b/pandas/tests/series/methods/test_reset_index.py
@@ -160,6 +160,13 @@ def test_drop_pos_args_deprecation(self):
         expected = DataFrame({"a": [1, 2, 3], 0: [1, 2, 3]})
         tm.assert_frame_equal(result, expected)
 
+    def test_reset_index_inplace_and_drop_ignore_name(self):
+        # GH#44575
+        ser = Series(range(2), name="old")
+        ser.reset_index(name="new", drop=True, inplace=True)
+        expected = Series(range(2), name="old")
+        tm.assert_series_equal(ser, expected)
+
 
 @pytest.mark.parametrize(
     "array, dtype",