I doubt it but they probably think at this point they have public opinion on their side what with all the demonstrations etc. They will send in a sacrificial Dem to make up a quorum and let the vote go forward with the plan to use it as a club to beat the Republicans over the head. We’ll see if it works.
The Ohio GOP senate only passed it by 1 vote. 5 or 6 GOP senators voted no. I would not rule out the possibility that it will be close.