diff --git a/pandas/tests/series/test_constructors.py b/pandas/tests/series/test_constructors.py
index a49b41c8747c9..090335f20a91d 100644
--- a/pandas/tests/series/test_constructors.py
+++ b/pandas/tests/series/test_constructors.py
@@ -1579,11 +1579,11 @@ def test_convert_non_ns(self):
         tm.assert_series_equal(ser, expected)
 
         # try to construct from a sequence asking for non-ns timedelta64
-        with pytest.raises(TypeError, match=r"Only \[ns\] granularity"):
+        with pytest.raises(TypeError, match=r"Only \[ns\] granularity is supported"):
             Series([1000000, 200000, 3000000], dtype="timedelta64[s]")
 
         # try to construct from a sequence asking for non-ns datetime64
-        with pytest.raises(TypeError, match=r"Only \[ns\] granularity"):
+        with pytest.raises(TypeError, match=r"Only \[ns\] granularity is supported"):
             Series([1000000, 200000, 3000000], dtype="datetime64[s]")
 
     @pytest.mark.parametrize(
@@ -1650,8 +1650,8 @@ def test_constructor_generic_timestamp_no_frequency(self, dtype, request):
     @pytest.mark.parametrize(
         "dtype,msg",
         [
-            ("m8[ps]", "cannot convert timedeltalike"),
-            ("M8[ps]", "cannot convert datetimelike"),
+            ("m8[ps]", "Only \[ns\] granularity is supported"),
+            ("M8[ps]", "Only \[ns\] granularity is supported"),
         ],
     )
     def test_constructor_generic_timestamp_bad_frequency(self, dtype, msg):
@@ -1894,22 +1894,6 @@ def test_constructor_dtype_timedelta_alternative_construct(self):
         expected = Series(pd.to_timedelta([1000000, 200000, 3000000], unit="ns"))
         tm.assert_series_equal(result, expected)
 
-    def test_constructor_dtype_timedelta_ns_s(self):
-        # GH#35465
-        result = Series([1000000, 200000, 3000000], dtype="timedelta64[ns]")
-        expected = Series([1000000, 200000, 3000000], dtype="timedelta64[s]")
-        tm.assert_series_equal(result, expected)
-
-    def test_constructor_dtype_timedelta_ns_s_astype_int64(self):
-        # GH#35465
-        result = Series([1000000, 200000, 3000000], dtype="timedelta64[ns]").astype(
-            "int64"
-        )
-        expected = Series([1000000, 200000, 3000000], dtype="timedelta64[s]").astype(
-            "int64"
-        )
-        tm.assert_series_equal(result, expected)
-
     @pytest.mark.filterwarnings(
         "ignore:elementwise comparison failed:DeprecationWarning"
     )