The NCAA will hear appeals from Kendric Burney and Deunta Williams this Friday, athletic director Dick Baddour said Wednesday.
Baddour said he expects a decision will come that day.
Burney and Williams face suspensions of six and four games, respectively, for receiving improper benefits.
An NCAA ruling on other players could come soon as well, he said. The University has made additional reinstatement requests for others ruled ineligible.
Once the NCAA is asked to reinstate a student-athlete’s eligibility, staff will review the individual case and determine what penalty any violations merit.
Baddour said it was too early to tell if any decisions would be made this week.
UNC initially held out 13 players amid allegations of receiving improper benefits from agents and academic misconduct.
The University has not said which players are part of which investigations, only that some players are part of both.
Three have been cleared of any wrongdoing, while Burney and Williams were penalized last week.