diff --git a/pandas/tests/frame/methods/test_to_csv.py b/pandas/tests/frame/methods/test_to_csv.py
index be84eb9c85663..8a857c033a2de 100644
--- a/pandas/tests/frame/methods/test_to_csv.py
+++ b/pandas/tests/frame/methods/test_to_csv.py
@@ -142,8 +142,6 @@ def test_to_csv_from_csv4(self):
 
             result = read_csv(path, index_col="dt_index")
             result.index = pd.to_timedelta(result.index)
-            # TODO: remove renaming when GH 10875 is solved
-            result.index = result.index.rename("dt_index")
             result["dt_data"] = pd.to_timedelta(result["dt_data"])
 
             tm.assert_frame_equal(df, result, check_index_type=True)
@@ -479,11 +477,8 @@ def test_to_csv_from_csv_w_some_infs(self, float_frame):
             float_frame.to_csv(path)
             recons = self.read_csv(path)
 
-            # TODO to_csv drops column name
-            tm.assert_frame_equal(float_frame, recons, check_names=False)
-            tm.assert_frame_equal(
-                np.isinf(float_frame), np.isinf(recons), check_names=False
-            )
+            tm.assert_frame_equal(float_frame, recons)
+            tm.assert_frame_equal(np.isinf(float_frame), np.isinf(recons))
 
     def test_to_csv_from_csv_w_all_infs(self, float_frame):
 
@@ -495,11 +490,8 @@ def test_to_csv_from_csv_w_all_infs(self, float_frame):
             float_frame.to_csv(path)
             recons = self.read_csv(path)
 
-            # TODO to_csv drops column name
-            tm.assert_frame_equal(float_frame, recons, check_names=False)
-            tm.assert_frame_equal(
-                np.isinf(float_frame), np.isinf(recons), check_names=False
-            )
+            tm.assert_frame_equal(float_frame, recons)
+            tm.assert_frame_equal(np.isinf(float_frame), np.isinf(recons))
 
     def test_to_csv_no_index(self):
         # GH 3624, after appending columns, to_csv fails
@@ -868,8 +860,7 @@ def test_to_csv_stringio(self, float_frame):
         float_frame.to_csv(buf)
         buf.seek(0)
         recons = read_csv(buf, index_col=0)
-        # TODO to_csv drops column name
-        tm.assert_frame_equal(recons, float_frame, check_names=False)
+        tm.assert_frame_equal(recons, float_frame)
 
     def test_to_csv_float_format(self):