Gobert joined Basketball Hall of Fame inductees Dikembe Mutombo and Ben Wallace as four-time Defensive Player of the Year award winners.
The only other four-time winners of the award are Dikembe Mutombo and Ben Wallace.
San Jose is projected to select Boston University’s Macklin Celebrini, who is considered this year’s top prospect.
Boston University forward Macklin Celebrini is expected to be the No. 1 overall pick.