Barry has been a long-term target for Liverpool, with Villa rejecting several offers from their Premier League rivals.
O'Neill is wary about definitively confirming Barry will stay at Villa Park, but remains determined to hang on to his skipper.
"We want him to stay I think that's obvious," O'Neill said in the Birmingham Mail.
"I think the fans want him to stay and for the length of time it has gone on it is hard to pre-empt anything. At this minute it's not completely resolved."