Millennial women are favorable toward legal abortion, but less enthusiastic about the cause than their elders might expect.

A new Refinery 29-CBS News poll of women between 18 and 35 conducted in late July found less than a third, 28 percent, believe abortion should be legal in all cases. An additional 34 percent of women polled said it should be legal in most cases. Only 13 percent of millennial women believed abortion should be illegal in all cases. Another 25 percent said it should be illegal in most cases.