Evans is a restricted free agent after the team extended him a one-year qualifying offer last week worth $6.8 million.
Evans wouldn't be able to sign an offer sheet until the July moratorium is lifted next Wednesday. Once the offer sheet is signed, the Kings have three days to decide whether or not to match the offer.
Evans, 23, was the 2009-10 NBA Rookie of the Year and only the fourth rookie in NBA history to average 20 points, five rebounds, and five assists a contest. This season, he averaged 15.8 points, 4.4 rebounds a game while shooting a career-high 47.8 percent from the floor.