Bibby helped lead the Bruins through the first 47 games of an 88-game winning streak and was named an All-American his senior year.

He was one of only four players to have started on three NCAA championship teams; the others all played for Wooden at UCLA: Lew Alcindor, Curtis Rowe, and Lynn Shackelford.

In 1996, he was named coach of the men's basketball team at the University of Southern California (USC), and kept that position for nine seasons.

In April 2005, he was named head coach of the Los Angeles Sparks of the Women's National Basketball Association (WNBA).

On January 17, 2006, Bibby was hired by the Philadelphia 76ers as an assistant coach on Maurice Cheeks' staff and remained there until the end of the 2007–2008 season, when his contract was not renewed.