Sasse, a 50-year-old senator from Nebraska, was one of seven Republicans who voted to hold Trump accountable for allegedly fomenting the attack on the U.S. Capitol on January 6, 2021.
As Nebraska's Republican governor, Pete Ricketts, would appoint a successor, his anticipated resignation won't affect the Senate's power structure, which Democrats control by a hair's breadth.
Sasse said on Twitter that he was in talks with the University of Florida. Sasse's term does not end until January 2027.
Sasse is "unanimously recommended" by the university's presidential search committee, according to the university's website.
Trump, who has intimated that he would compete for president in 2024 and still controls the Republican Party, used the November midterm elections to target those
who supported his impeachment, and he was successful in doing so when representative Liz Cheney was removed from office.