Some advisers discussed the possibility of Mr. Trump resigning a few days early, in part because it would allow him to have the option of running again in 2024 and perhaps avoid the risk of being convicted and barred from future office by the Senate.

But Mr. Trump has been dismissive of any suggestion that he leave the presidency early and told White House aides that President Richard M. Nixon, whose influence in the party ended when he resigned, did not have much to show for it.

Advisers said that Mr. Trump had to be dissuaded from going to the House floor to try to defend himself during Wednesday’s impeachment proceedings, something he wanted to do during his first impeachment in December 2019, advisers said…

On Air Force One on Tuesday, during a trip to the southern border at Alamo, Texas, the president repeatedly said of the election to people traveling with him, “I won.”