He'll increase, but I don't think it'll be a surge per se. In all likelihood, Trump will still dominate.
This.
There are three lanes in the GOP. There are the Populist Conservatives, which Trump represents. There are Movement Conservatives, which is the province of Cruz. And there is the Establishment, a vacuum which Rubio is now filling. Religious conservatives are a fourth group, but in this race, they are split between these three lanes.
If Rubio gets all of the "Establishment votes, he'll be about even with Trump, and a smidge ahead of Cruz. He can't win with just Establishment votes. There's also the Carson votes, which are about to go somewhere else, and these folks are far more likely to go to Trump or Cruz than Rubio (although Cruz now has some problems with these folks). What is even more telling is that Donald Trump won all over South Carolina. He won in some super-conservative Evangelical counties, but he won in metro Charleston as well, and that area is more moderate and Establishmentarian. There is every reason to believe that Rubio will not get all of Jeb's supporters. He may have if Jeb had endorsed Rubio tonight, but he didn't. Trump is the clear frontrunner now, and the favorite for the nomination at this point. He's not a prohibitive favorite, but Rubio would have to spin like a supercollider in order to convince people that he's somehow a favorite.