The Barcelona star is set to leave the Nou Camp at the end of the season when he will become a free agent.
Previous reports suggested that Alves' representatives have held talks with United over a £100,000-a-week, three-year contract for the Brazilian, and his agent Dinorah Santana claims a move could be finalised soon.
"We're close to signing for another club, talks are underway," she told RAC1.
"Dani is still available [for renewal], but we don't expect much else [from Barca]."
The Red Devils are yet to make a decision over Radamel Falcao's future.
GETTY
Dani Alves could complete a shock switch to Manchester United
Dani is still available [for renewal], but we don't expect much else [from Barca]
Dinorah Santana
Falcao, who is on a season-long loan at the club, has hit just four goals in 20 appearances.
Though it was thought United would not exercise the option to sign Falcao on a £43m permanent deal, reports are now suggesting Louis van Gaal will wait until May before making his mind up.
Van Gaal may plump for a move for Mats Hummels in the summer, should he give up on Stefan Savic.
The Red Devils are looking to add a world-class centre half to their ranks, with Hummels their top target.
Though Hummels would fetch around £30m, Italian publication Tuttomercatoweb claims that a move for the Borussia Dortmund defender could be completed if Van Gaal passes up the opportunity to sign Savic.
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