Half of Davis' Chapel Hill stay was accompanied by flu like symptoms.
"I think [being sick] had a big thing to do with [his feelings towards the visit]," Prince said. "He was sick all that last day [of the visit] and he missed the next day of school here. So I think, obviously, that could have had a major affect on him."
Prince said UNC is recruiting Davis, a 6-foot-4, 220-pound athlete, exclusively as a quarterback.
"He's going to be a quarterback," Prince said. "He didn't visit anywhere that said he wasn't going to be a quarterback. He's that good a quarterback."
This weekend Prince will meet with Davis to discuss his college decision.
Although Prince says UNC hasn't been eliminated, it appears very likely that Davis won't be signing with the Tar Heels on Wednesday.
"Marcus is considering Penn State and Virginia Tech," Prince said. "Right now, they're the places that he feels are the places he wants to sit down and talk about."
Davis will announce his college destination and sign his National Letter-of-Intent Wednesday at 8 a.m. during a press conference held at his school.