Hegseth, who has been a co-host of “Fox & Friends Weekend” for the better part of a decade, has used the show to highlight his views about the US military. He has railed against the Pentagon’s adoption of “social justice” messages and argued that “woke” policies have hurt military recruitment.

On Wednesday morning’s Fox & Friends, co-host Steve Doocy said he heard the news when he saw that his own son Peter—also a Fox News star—was being talked about on Twitter as a potential press secretary in the forthcoming Trump White House.