Mitt Romney is at the top of the president-elect’s list, sources familiar with Trump’s thinking told the show.

Former New York City Mayor Rudy Giuliani is fading as a candidate for secretary of State, they added.

Former Utah Gov. and U.S. Ambassador to China Jon Huntsman (R) is reportedly not a serious contender to lead the State Department while retired Gen. David Petraeus is no longer a serious candidate for the role.

The president-elect will meet Tuesday with ExxonMobil CEO Rex W. Tillerson. Trump is “intrigued” with his “vast knowledge of the world,” according to Morning Joe.