Bibby played college basketball for the Arizona Wildcats, with whom he won the 1997 NCAA Championship. He was drafted second overall by the Vancouver Grizzlies in the 1998 NBA draft. He was named to the NBA All-Rookie First Team in his first season with the Grizzlies. He also played for the Sacramento Kings, Atlanta Hawks, Washington Wizards, Miami Heat and New York Knicks. He is the son of former NBA player Henry Bibby.