Pogba has been repeatedly linked with a summer move this year and his agent, Mino Raiola, is believed to be in contact with a number of clubs.
United re-signed the Frenchman two years ago in a deal that cost around £90million but Jose Mourinho has shown a ruthlessness with the club-record signing.
Asked if he is confident that Pogba will still be a Manchester United player next season, Neville told Sky Sports: Im not confident but at the same time I havent heard anything that suggests hes definitely going.
In my view United took a hit on [Angel] Di Maria, are they really going to do that again with Pogba? Its a big, big call to sell him.
You could put off the big players youre trying to attract to the club as well. I hope he stays and it works out for him.
Mourinho called on Pogba to be more consistent earlier in the month and Neville insists this is an area the France international needs to improve.
When you put yourself out there like he has you have to back it up with performances that are consistent, Neville added ahead of Uniteds clash against Arsenal.
Im glad hes taking the blame. Consistency is the key thing for him. United are a better team with him in it – they should keep him and make him the player he can be.
United face Arsenal on Sunday just over a week since Wenger announced he would leave the Gunners at the end of the season.
On his rivalry with the experienced Frenchman, Mourinho said: We had big matches, big fights, so thank you so much for that.
Regret? Little negative episodes, yes I do. There were little things where it would be obviously better without them, you know, some gestures, some words, it would obviously be better without it.
I feel better now without it, no doubts about it.