diff --git a/activesupport/test/core_ext/date_time_ext_test.rb b/activesupport/test/core_ext/date_time_ext_test.rb
index fcd739c804cf876b38350d442e29fc3fca645063..306316efcdbcb081beb6b4045a30a78323ee114d 100644
--- a/activesupport/test/core_ext/date_time_ext_test.rb
+++ b/activesupport/test/core_ext/date_time_ext_test.rb
@@ -69,8 +69,14 @@ def test_to_datetime
   def test_to_time
     with_env_tz 'US/Eastern' do
       assert_instance_of Time, DateTime.new(2005, 2, 21, 10, 11, 12, 0).to_time
-      assert_equal Time.local(2005, 2, 21, 5, 11, 12), DateTime.new(2005, 2, 21, 10, 11, 12, 0).to_time
-      assert_equal Time.local(2005, 2, 21, 5, 11, 12).utc_offset, DateTime.new(2005, 2, 21, 10, 11, 12, 0).to_time.utc_offset
+
+      if ActiveSupport.to_time_preserves_timezone
+        assert_equal Time.local(2005, 2, 21, 5, 11, 12).getlocal(0), DateTime.new(2005, 2, 21, 10, 11, 12, 0).to_time
+        assert_equal Time.local(2005, 2, 21, 5, 11, 12).getlocal(0).utc_offset, DateTime.new(2005, 2, 21, 10, 11, 12, 0).to_time.utc_offset
+      else
+        assert_equal Time.local(2005, 2, 21, 5, 11, 12), DateTime.new(2005, 2, 21, 10, 11, 12, 0).to_time
+        assert_equal Time.local(2005, 2, 21, 5, 11, 12).utc_offset, DateTime.new(2005, 2, 21, 10, 11, 12, 0).to_time.utc_offset
+      end
     end
   end
 
diff --git a/activesupport/test/core_ext/string_ext_test.rb b/activesupport/test/core_ext/string_ext_test.rb
index 071f690e120f041bd90a7d793568691b25585bcc..ec56c500d3d3777025f785a58fd0668aeab0fc5f 100644
--- a/activesupport/test/core_ext/string_ext_test.rb
+++ b/activesupport/test/core_ext/string_ext_test.rb
@@ -464,10 +464,17 @@ def test_string_to_time
 
   def test_string_to_time_utc_offset
     with_env_tz "US/Eastern" do
-      assert_equal 0, "2005-02-27 23:50".to_time(:utc).utc_offset
-      assert_equal(-18000, "2005-02-27 23:50".to_time.utc_offset)
-      assert_equal 0, "2005-02-27 22:50 -0100".to_time(:utc).utc_offset
-      assert_equal(-18000, "2005-02-27 22:50 -0100".to_time.utc_offset)
+      if ActiveSupport.to_time_preserves_timezone
+        assert_equal 0, "2005-02-27 23:50".to_time(:utc).utc_offset
+        assert_equal(-18000, "2005-02-27 23:50".to_time.utc_offset)
+        assert_equal 0, "2005-02-27 22:50 -0100".to_time(:utc).utc_offset
+        assert_equal(-3600, "2005-02-27 22:50 -0100".to_time.utc_offset)
+      else
+        assert_equal 0, "2005-02-27 23:50".to_time(:utc).utc_offset
+        assert_equal(-18000, "2005-02-27 23:50".to_time.utc_offset)
+        assert_equal 0, "2005-02-27 22:50 -0100".to_time(:utc).utc_offset
+        assert_equal(-18000, "2005-02-27 22:50 -0100".to_time.utc_offset)
+      end
     end
   end