New Barcelona boss Gerardo Martino insists he is determined to keep Fabregas, despite constant speculation about the ex-Arsenal midfielder returning to England with United.
David Moyes does not appear ready to end his pursuit of the Spaniard after admitting that talks are 'ongoing' and he would be a fitting replacement for former playmaker Scholes, who would welcome Fabregas' arrival.
Scholes played against Fabregas on a number of occasions before announcing his retirement last season and he feels the 26-year-old would help the club challenge for more silverware in the new campaign.
"Well it would be nice to sign a player of that quality," he told Sky Sports News.
"He's proven in the Premier League, obviously he's with Barcelona, it's a big club, it will be difficult to get him away from there. But if you do, you have to fancy your chances strongly that we can go on and be successful with a player like that in your team."
Wayne Rooney sat out Scholes' final game for United in May after making a transfer request and his future at the club is uncertain, with Chelsea keen to sign the unsettled striker.
Moyes is reluctant to sell Rooney and Scholes has advised the England international to remain at Old Trafford.
"Well my advice would be to stay obviously," he said. "I don't think there's anywhere better than Manchester United to play your football, but it's not the same for every person.
"If someone is not happy there then they want to go. If that's Wayne's feeling then that's up to him, but he's a top, top player and I think every United player and fan hopes he stays."
Moyes is yet to bring in any big names after succeeding Sir Alex Ferguson and neighbours Manchester City have already added a host of new faces to their ranks.
But Scholes insists there is no rush for Moyes to bring in recruits because he has inherited a strong squad.
He said: "I don't think there's that much pressure really because he's come in and there's a quality squad there already. There's 18, 19, 20 quality players he's got.
"Obviously even if Alex Ferguson was still there, I'm sure he'd want to sign two or three players. That's the norm every season.
"You win the league by 10 points, whatever it is, you still want to improve the year after. I'm sure David (Moyes) is trying his best to get players and I'm sure he'll want players, and hopefully he can get the ones he wants."