North Carolina has closely guarded the number of players whose eligibility is now in question.
Late Thursday night, the Associated Press reported sources say receiver Greg Little won't travel to Atlanta, but further details have not been released.
Click here for more about Little On Wednesday, star defensive tackle Marvin Austin was suspended indefinitely.
"I'd like to reiterate, this indefinite suspension has zero to do with the NCAA review," Davis said.
But ESPN reported Thursday that as many as 16 players may be forced to stay home from the season opener against Louisiana State.
"Its total speculation and our administration is working very diligently to have a lot of conversation with the NCAA to try to come to some resolution on the matter," Davis said.
The NCAA first called the Tar Heel athletic department in late June with questions about agents, after Austin and other players were bragging about a trip to Miami on their Twitter accounts.
The agent investigation then led to questions about academic fraud.
"It's conceivable that we won't have a resolution on some of these, if any of them, until the middle of the afternoon on Saturday," Davis said.
It was supposed to be the breakthrough year for Davis and the Tar Heels, but instead it is one of the most stressful periods.
"Well, there's obviously been a lot of things that we've had to deal with," Davis said.
ESPN also reports that the NCAA and UNC have discussed "rolling suspensions" in which different players sit out different games, to keep from depleting the Tar Heel roster.
However, Davis would not talk about it Thursday.
"That's something that is part of this review and is something I'm not at liberty to talk about," he said.