On the back of United's demoralising 5-0 defeat at the hands of Liverpool on Sunday, there have been renewed calls for Solskjaer to depart his position in the dugout.
While the Norwegian has insisted that he will not resign from his post, speculation persists regarding potential alternatives in the future.
Despite Conte being considered one of the favourites with bookmakers and supporters, Neville does not want his former club to make an approach for the Italian.
Speaking to Sky Sports, Neville said: "They won't bring a hitman in. They will stick with Ole and he has to win something this season. Any other club he'd be in trouble tonight.
"Jose [Mourinho] was the best manager in the world and couldn't do it. I wouldn't bring Conte in to United. He's not a fit for United. I might be wrong but I don't think that he is.
"I think it would be wrong to sack Ole today. I sacked a manager after six games last season, it was the wrong thing to do, I should've let things breathe."
United face a triple-header with Tottenham Hotspur, Atalanta BC and Manchester City before the international break. body check tags ::