Davis took a hard fall in the 128-75 loss at Boston. The wrist injury was announced after the game. The Kings said tests on Wednesday revealed damage to tendons in the wrist.
Davis has emerged as a prominent scorer and starter for the struggling Kings. The second-year player is averaging 10.4 points per game. He scored a career-high 35 points on Jan. 19 against Detroit and 22 points the following game against Milwaukee.
"I thought he was playing really good basketball for us," Gentry said. "He was attacking the basket. ... It's an opportunity for somebody else to step in. Obviously, there are going to be minutes there."
Kings center Chimezie Metu also missed Wednesday night's game because of a knee injury.