diff --git a/pandas/tests/groupby/test_transform.py b/pandas/tests/groupby/test_transform.py
index 740103eec185a..73a99f2dd4402 100644
--- a/pandas/tests/groupby/test_transform.py
+++ b/pandas/tests/groupby/test_transform.py
@@ -1,4 +1,5 @@
 """ test with the .transform """
+from datetime import timedelta
 from io import StringIO
 
 import numpy as np
@@ -23,6 +24,17 @@
 from pandas.core.groupby.groupby import DataError
 
 
+@pytest.fixture
+def df_for_transformation_func():
+    return DataFrame(
+        {
+            "A": [121, 121, 121, 121, 231, 231, 676],
+            "B": [1.0, 2.0, 2.0, 3.0, 3.0, 3.0, 4.0],
+            "C": pd.date_range("2013-11-03", periods=7, freq="D"),
+        }
+    )
+
+
 def assert_fp_equal(a, b):
     assert (np.abs(a - b) < 1e-12).all()
 
@@ -318,7 +330,7 @@ def test_dispatch_transform(tsframe):
     tm.assert_frame_equal(filled, expected)
 
 
-def test_transform_transformation_func(transformation_func):
+def test_transform_transformation_func(transformation_func, df_for_transformation_func):
     # GH 30918
     df = DataFrame(
         {
@@ -346,6 +358,47 @@ def test_transform_transformation_func(transformation_func):
     tm.assert_frame_equal(result, expected)
 
 
+def test_groupby_transform_corrwith(df_for_transformation_func):
+
+    # GH 27905
+    df = df_for_transformation_func
+    g = df.groupby("A")
+
+    result = g.corrwith(df)
+    expected = pd.DataFrame(dict(B=[1, np.nan, np.nan], A=[np.nan] * 3))
+    expected.index = pd.Index([121, 231, 676], name="A")
+    tm.assert_frame_equal(result, expected)
+
+    msg = "'Series' object has no attribute 'corrwith'"
+
+    with pytest.raises(AttributeError, match=msg):
+        g.transform("corrwith", df)
+
+
+def test_groupby_transform_tshift(df_for_transformation_func):
+
+    # GH 27905
+    df = df_for_transformation_func
+    g = df.set_index("C").groupby("A")
+    result = g.tshift(2, "D")
+    df["C"] = df["C"] + timedelta(days=2)
+    expected = df
+    tm.assert_frame_equal(
+        result.reset_index().reindex(columns=["A", "B", "C"]), expected
+    )
+
+    op1 = g.transform(lambda x: x.tshift(2, "D"))
+    op2 = g.transform("tshift", *[2, "D"])
+
+    for result in [op1, op2]:
+        pytest.xfail(
+            "The output of groupby.transform with tshift is wrong, see GH 32344"
+        )
+        tm.assert_frame_equal(
+            result.reset_index().reindex(columns=["A", "B", "C"]), expected
+        )
+
+
 def test_transform_select_columns(df):
     f = lambda x: x.mean()
     result = df.groupby("A")[["C", "D"]].transform(f)