Self said after the game that he doesn't know enough about the injury to put a time frame on it.
"He'll be out. It's not a day-to-day thing," Self said. "X-rays came back negative but he'll be out. Hopefully we'll get him back healthy before Christmas time."
Self had said at halftime of the ESPN broadcast that the injury was a high ankle sprain, but amended that postgame.
Azubuike landed awkwardly after attempting to block a floater by Wofford's Nathan Hoover midway through the first half. He went down on the court, grabbing his right ankle in pain.
The 7-foot, 270 pound junior was helped off the court, unable to put much weight on the ankle, and left for the locker room.
Entering the game, Azubuike was averaging 15 points, 6.5 rebounds and 1.7 blocks per game.
Self said that Marcus Garrett will start at the 4 position with Azubuike out.
Before the Big 12 season starts on Jan. 2, the Jayhawks will play New Mexico State on Saturday, No. 21 Villanova on Dec. 15, South Dakota on Dec. 18, No. 20 Arizona State on Dec. 22 and Eastern Michigan on Dec. 29.