The school says the 6-foot-10 freshman sprained his left ankle when he landed on a teammate's foot while grabbing a rebound during Tuesday's practice.
X-rays showed no fracture, but Wear is on crutches and will miss Wednesday night's game against rival Duke.
Wear is averaging about five points and four rebounds off the bench. He had become the first frontcourt player off the bench since 7-footer Tyler Zeller went down last month with a stress fracture in his foot.
Wear and his brother, David, are believed to be the first twins to play together in the storied program's history.