If it significantly changes, yes, then he will have an opportunity to deny cloture. At that point it would take more courage to vote against cloture than the first time around, and he could salvage some self respect.
It’s pretty certain to go to conference since the House plans to modify it from what I’ve been reading. Given that, he has a chance to change his vote especially since reports today indicate funding for abortion will be in the final bill and everyone will be required to pay for it through taxes.