diff --git a/doc/source/whatsnew/v1.2.0.rst b/doc/source/whatsnew/v1.2.0.rst
index 45a95f6aeb2f6..ea2e6784087f2 100644
--- a/doc/source/whatsnew/v1.2.0.rst
+++ b/doc/source/whatsnew/v1.2.0.rst
@@ -341,6 +341,8 @@ Deprecations
 - Deprecate use of strings denoting units with 'M', 'Y' or 'y' in :func:`~pandas.to_timedelta` (:issue:`36666`)
 - :class:`Index` methods ``&``, ``|``, and ``^`` behaving as the set operations :meth:`Index.intersection`, :meth:`Index.union`, and :meth:`Index.symmetric_difference`, respectively, are deprecated and in the future will behave as pointwise boolean operations matching :class:`Series` behavior.  Use the named set methods instead (:issue:`36758`)
 - :meth:`Categorical.is_dtype_equal` and :meth:`CategoricalIndex.is_dtype_equal` are deprecated, will be removed in a future version (:issue:`37545`)
+- :meth:`Series.slice_shift` and :meth:`DataFrame.slice_shift` are deprecated, use :meth:`Series.shift` or :meth:`DataFrame.shift` instead (:issue:`37601`)
+
 
 .. ---------------------------------------------------------------------------
 
diff --git a/pandas/core/generic.py b/pandas/core/generic.py
index c90ab9cceea8c..3ccf3265c0d1a 100644
--- a/pandas/core/generic.py
+++ b/pandas/core/generic.py
@@ -9347,10 +9347,13 @@ def shift(
     def slice_shift(self: FrameOrSeries, periods: int = 1, axis=0) -> FrameOrSeries:
         """
         Equivalent to `shift` without copying data.
-
         The shifted data will not include the dropped periods and the
         shifted axis will be smaller than the original.
 
+        .. deprecated:: 1.2.0
+            slice_shift is deprecated,
+            use DataFrame/Series.shift instead.
+
         Parameters
         ----------
         periods : int
@@ -9365,6 +9368,14 @@ def slice_shift(self: FrameOrSeries, periods: int = 1, axis=0) -> FrameOrSeries:
         While the `slice_shift` is faster than `shift`, you may pay for it
         later during alignment.
         """
+
+        msg = (
+            "The 'slice_shift' method is deprecated "
+            "and will be removed in a future version. "
+            "You can use DataFrame/Series.shift instead"
+        )
+        warnings.warn(msg, FutureWarning, stacklevel=2)
+
         if periods == 0:
             return self
 
diff --git a/pandas/tests/generic/test_finalize.py b/pandas/tests/generic/test_finalize.py
index d7aadda990f53..d16e854c25ed8 100644
--- a/pandas/tests/generic/test_finalize.py
+++ b/pandas/tests/generic/test_finalize.py
@@ -424,8 +424,6 @@
     (pd.DataFrame, frame_data, operator.methodcaller("where", np.array([[True]]))),
     (pd.Series, ([1, 2],), operator.methodcaller("mask", np.array([True, False]))),
     (pd.DataFrame, frame_data, operator.methodcaller("mask", np.array([[True]]))),
-    (pd.Series, ([1, 2],), operator.methodcaller("slice_shift")),
-    (pd.DataFrame, frame_data, operator.methodcaller("slice_shift")),
     pytest.param(
         (
             pd.Series,
diff --git a/pandas/tests/generic/test_generic.py b/pandas/tests/generic/test_generic.py
index 45601abc95fe6..6eec8ef3622a8 100644
--- a/pandas/tests/generic/test_generic.py
+++ b/pandas/tests/generic/test_generic.py
@@ -561,3 +561,14 @@ def test_flags_identity(self, as_frame):
         assert s.flags is s.flags
         s2 = s.copy()
         assert s2.flags is not s.flags
+
+    def test_slice_shift_deprecated(self):
+        # GH 37601
+        df = DataFrame({"A": [1, 2, 3, 4]})
+        s = Series([1, 2, 3, 4])
+
+        with tm.assert_produces_warning(FutureWarning):
+            df["A"].slice_shift()
+
+        with tm.assert_produces_warning(FutureWarning):
+            s.slice_shift()