Holland playmaker Sneijder has been touted as the missing piece in Ferguson’s jigsaw, with former Old Trafford star David Beckham among those backing a move for him. United are also thought to be interested in Arsenal midfielder Samir Nasri and Tottenham schemer Luka Modric.
But Ferguson, speaking on his club’s American tour, said he was unlikely to sign anyone else before facing Manchester City in the Community Shield on 7 August.
“At this moment, I can’t see another addition,” he said. “The type of player we might have been looking for is not available. I am happy with the players I have got at this moment in time.”
United have already spent around £50m on three players: defender Phil Jones from Blackburn, Aston Villa winger Ashley Young and goalkeeper David de Gea from Atletico Madrid.
Ferguson also fanned the flames ahead of the curtain-raiser against City, saying: “It is addressing our noisy neighbours again. It will be an interesting match.”