Terms of the contract announced Monday weren't released, but it is reportedly a one-year deal for the veteran minimum of $1.4 million.
Jefferson started 78 games for Utah last year but figures to be used as a 3-point threat coming off the bench. That was the role last season for Carter, who signed with Memphis as a free agent.
The 34-year-old Jefferson has averaged 14.5 points and 4.5 rebounds in a 13-year career that started in New Jersey, where he went to the NBA Finals twice with Jason Kidd and Carter. He played in the 2001 NCAA title game with Arizona.