The Trump administration has already announced its 2018 picks for attorney general and U.S. Senate.
Former Texas Gov.
Greg Abbott and former Texas Attorney General Ken Paxton are the two other contenders.
The New York Times reported Tuesday that the Republican National Committee is expected to make the first of three announcements Thursday.
The party has yet to make its final choices for secretary of state, and Trump has said he will not make his decision until after the November election.