There have also been reports that the Santos forward has already agreed a move to the Catalan club, and will move next summer.
Alves says that whether a deal is in place or not, he hopes Neymar will join him at the Nou Camp.
"Obviously anybody would want to play for Barcelona," Alves said. "If Barcelona are interested in Neyman and if next month, next year or in two years he comes, I don't know.
"I hope he does come here because, as I've already said, he would get better as a player and he would also improve the team."
Barcelona face Real Mallorca later this afternoon.