It is unlikely that they do. However, it might be a worthy strategy for the Republicans to force it. A Powerline notes here, the filibuster was meant to not shut down debate, but encourage more of it. So why not force the Democrats to do it the old fashioned way, and that means make them hold the floor. All Senate business would stop, and it would be a nice political strategy for the Republicans to force into public view more Democrat lunacy on whatever they say from the floor.
It is too soon to play that game though. Closer to the midterms would have a better effect. The Republicans should get the nominee confirmed, and then, at a later date when the Democrats filibuster–and they will–make them earn the floor by holding it.