They will be joined by Connecticut women's coach Geno Auriemma.
Wilkins had a 24.8 points per game scoring average in 17 NBA seasons.
Barkley, who played for 14 seasons after he was a first-round draft pick by Philadelphia out of Auburn, was selected in 1996 as one the NBA's 50 greatest players.
Auriemma has won five national titles in 21 years at UConn.
Dumars, who is in his first year of eligibility and is the president of the Detroit Pistons, averaged 16.1 points and 4.5 assists in a 15-year NBA playing career. He was an All-Star six times in an eight-year stretch in the 1990s, was first-team all-defense four times, and won three NBA titles.
An official announcement will be made on Monday in Indianapolis.