The procedure was performed by Dr. Kelly Bal at Ruby Memorial Hospital in Morgantown.
According to a press release distributed by West Virginia's sports information office, the team's coordinator of athletic training services, Randy Meador, expects Browne to face a recovery time of two to three months.
Browne played in all 33 of the Mountaineers' games as a true freshman in 2011-12, starting three times. He averaged 6.5 points, 3.9 rebounds and almost 3 assists per game.
The announcement of Browne's procedure came on the same day that the school also revealed fellow freshman Pat Forsythe's request for a medical hardship waiver was approved by the Big East Conference.
Forsythe played in seven games but ultimately missed most of the season due to multiple injuries, including a stress fracture in his right ankle. He averaged 2.1 points and 3.4 rebounds per game.
Forsythe will play in 2012-13 as a redshirt freshman and have four seasons of college eligibility remaining.