The UNC head coach has also spoke to Warren on the phone recently, and was in attendance for both of his games on Monday at the AAU Supers Showcase.
"I talk with (assistant coach Steve) Robinson and Coach Williams a lot lately," Warren said. "It's great talking to Coach Williams because he has such a great history and has done a lot of great things."
Carolina has yet to extend a scholarship offer to Warren, but Williams has already talked about the role he would expect T.J. to play for the program.
"(Coach Williams) tells me that he wants me to come in and be a scorer," said the 6-8 Warren, who originally hails from Durham, N.C. "All the coaches that I talk to pretty much tell me that."
Warren refuted the idea that the lack of a scholarship offer thus far from UNC lessens the Tar Heels' chances in his recruitment.
"No, it doesn't hurt (Carolina's chances)," Warren said. "It just makes me want to continue to play hard every game and keep improving my game. I'm definitely very interested in North Carolina."
So how does Warren feel about the upcoming UNC visit?
"I'm excited for it," Warren said. "I want to get to the campus and see everything and get a chance to get to know the coaches a little bit better. I'm looking forward to the visit."