To begin the 1990–91 season, Hansen suited up for the Sacramento Kings, where he would play for chiefly one season, appearing in just two games for the 1991–92 Kings before Hansen and the Kings' 1992 second-round pick were traded for Dennis Hopson of the Chicago Bulls. In his final NBA season, and perhaps his best known, Hansen appeared in 66 regular season games and, along with Craig Hodges, served as back-up guard to Michael Jordan. Hansen, who averaged 2.5 points per contest heading into the 1992 NBA Playoffs, would have arguably his most memorable professional contribution during the 1992 NBA Finals. During Game 6, the Bulls, who held a 3-2 series lead over the Portland Trail Blazers, were trailing by 15 points after three quarters. Head coach Phil Jackson decided to pull Jordan from the game in favor of Hansen, hoping for an extra jolt to start what looked to be the final corner of a Finals looking to require seven games to determine a champion. According to longtime Bulls writer Sam Smith, Jackson may have wanted to rest his starters considering no team had ever come back from a 15-point deficit to win an NBA championship, and Hansen started the fourth quarter with a three-pointer, his only field goal of the game, and a steal off Jerome Kersey. Hansen confirmed with the defending Finals MVP Jordan whether he wanted to re-enter the game, but Jordan declined. Scottie Pippen led a 14-2 Bulls rally, and, along with Hansen and fellow reserve big man Stacey King, helped the Bulls get within three points by the time Jordan was put back in the game to replace Hansen. The Bulls completed the comeback, eventually rallying for a 97–93 victory and winning their second consecutive NBA championship. Hansen was the only player on the roster who had not won a ring with the Bulls during the 1991 Finals and after the Game 6 win, Jordan repeatedly stated, "I'm glad for Bobby Hansen." When Hansen gave Jordan the game ball, Jordan replied, "I told you I'd get you that ring." Hansen had logged 5 minutes of game time, while Jordan played in 43 minutes.