Dunn will be out indefinitely and will not travel with the Bulls to Atlanta for their Saturday game.
Dunn took a hard fall late in Wednesday night's 119-112 loss to the Golden State Warriors, landing face first after a dunk.
The Bulls initially said he chipped and dislocated two front teeth but was clear of concussion symptoms after initial tests.
Dunn's two dislocated front teeth were stabilized and have been splinted with braces as a form of treatment.
Dunn, 23, acquired from Minnesota during a summer trade, is in his second NBA season. The former lottery pick is averaging career highs in points (13.7 per game), assists (6.4), rebounds (4.6) and steals (2.1).
Dunn faceplants after transition slam
Kris Dunn steals the ball and jams it home on the break, but loses his balance coming off the rim and slams his face into the floor, forcing him from the game.