 Fox's Jessica Rosenthal, anticipation still growing over who former President Trump will pick to be his running mate. Talk of who could be Trump's running mate is heating up. The New York Times reporting Senators Marco Rubio and J.D. Vance and North Dakota Governor Doug Burgum are the top contenders. All three were at the CNN presidential debate in Atlanta. Trump says he will reveal his choice right around the Republican National Convention, which is set to take place in just about a couple of weeks.