President Donald Trump has been asking advisers, including by phone, whether Defense Secretary Pete Hegseth should stay in his job following Republicans’ losses on Tuesday night, according to sources familiar with the matter.

One of those sources said Florida Governor Ron DeSantis is being floated as a possible replacement, arguing DeSantis could go through Senate confirmation in the lame-duck period and take the post when his term as governor expires on January 5. Asked by reporters on Wednesday afternoon whether he was considering replacing Hegseth, Trump said: “No, I think he’s doing a very good job.” White House spokeswoman Anna Kelly said the president “has full confidence in Secretary Hegseth.”