At the top of the list is Heather Nauert, the current State Department spokeswoman and former Fox News host. Nauert has impressed White House aides with her steady performances in Foggy Bottom. Multiple people close to the White House pointed out that Nauert remained in Trump’s good graces even when the president soured on former Secretary of State Rex Tillerson.

Nauert’s Fox News pedigree, paired with her close relationship with Trump and her ability to stay on message and remain calm under pressure, makes her a “no-brainer” for the job, according to one person close to the White House. Nauert, who did not respond to a request for comment, has told associates that she’s unsure whether she would want the job, but people who know her believe she’d take it if asked.

Other possibilities include Bill Hemmer, a Fox News reporter; Kimberly Guilfoyle, a former Fox News host who recently left the network to join a pro-Trump outside group; Treasury Department spokesman Tony Sayegh, who worked closely with the White House on its overhaul of the tax code and used to be a Fox News contributor; and White House deputy press secretary Raj Shah.