Williams totaled three points and five rebounds in Saturday's loss at Kentucky. His season averages are 16.4 points and 7.8 rebounds.
The Tar Heels play host to Miami on Wednesday evening at the Smith Center.
"We've got to get our guys healthy and at full strength," Williams said. I would think that everybody is going to play.
"We can't afford to have any more [injuries]. Hopefully, these few days were good for [Jawad]."