diff --git a/pandas/core/arrays/datetimes.py b/pandas/core/arrays/datetimes.py
index b76051e4dce80..aa1d8f6254e2c 100644
--- a/pandas/core/arrays/datetimes.py
+++ b/pandas/core/arrays/datetimes.py
@@ -31,7 +31,6 @@
     is_categorical_dtype,
     is_datetime64_any_dtype,
     is_datetime64_dtype,
-    is_datetime64_ns_dtype,
     is_datetime64tz_dtype,
     is_dtype_equal,
     is_extension_array_dtype,
@@ -587,29 +586,30 @@ def astype(self, dtype, copy=True):
         # DatetimeLikeArrayMixin Super handles the rest.
         dtype = pandas_dtype(dtype)
 
-        if is_datetime64_ns_dtype(dtype) and not is_dtype_equal(dtype, self.dtype):
-            # GH#18951: datetime64_ns dtype but not equal means different tz
-            # FIXME: this doesn't match DatetimeBlock.astype, xref GH#33401
-            new_tz = getattr(dtype, "tz", None)
-            if self.tz is None:
-                return self.tz_localize(new_tz)
-            elif new_tz is None:
-                result = self.tz_convert("UTC").tz_localize(None)
-            else:
-                result = self.tz_convert(new_tz)
+        if is_dtype_equal(dtype, self.dtype):
+            if copy:
+                return self.copy()
+            return self
+
+        elif is_datetime64tz_dtype(dtype) and self.tz is None:
+            # FIXME: GH#33401 this does not match Series behavior
+            return self.tz_localize(dtype.tz)
 
+        elif is_datetime64tz_dtype(dtype):
+            # GH#18951: datetime64_ns dtype but not equal means different tz
+            result = self.tz_convert(dtype.tz)
             if copy:
                 result = result.copy()
-            if new_tz is None:
-                # Do we want .astype('datetime64[ns]') to be an ndarray.
-                # The astype in Block._astype expects this to return an
-                # ndarray, but we could maybe work around it there.
-                result = result._data
             return result
-        elif is_datetime64tz_dtype(self.dtype) and is_dtype_equal(self.dtype, dtype):
+
+        elif dtype == "M8[ns]":
+            # we must have self.tz is None, otherwise we would have gone through
+            #  the is_dtype_equal branch above.
+            result = self.tz_convert("UTC").tz_localize(None)
             if copy:
-                return self.copy()
-            return self
+                result = result.copy()
+            return result
+
         elif is_period_dtype(dtype):
             return self.to_period(freq=dtype.freq)
         return dtl.DatetimeLikeArrayMixin.astype(self, dtype, copy)
diff --git a/pandas/core/arrays/timedeltas.py b/pandas/core/arrays/timedeltas.py
index fe4eaa4b4bf19..8410f3d491891 100644
--- a/pandas/core/arrays/timedeltas.py
+++ b/pandas/core/arrays/timedeltas.py
@@ -324,12 +324,7 @@ def astype(self, dtype, copy: bool = True):
         # DatetimeLikeArrayMixin super call handles other cases
         dtype = pandas_dtype(dtype)
 
-        if is_dtype_equal(dtype, self.dtype):
-            if copy:
-                return self.copy()
-            return self
-
-        elif dtype.kind == "m":
+        if dtype.kind == "m":
             return astype_td64_unit_conversion(self._data, dtype, copy=copy)
 
         return dtl.DatetimeLikeArrayMixin.astype(self, dtype, copy=copy)