The veteran right-back's current contract expires at the end of this season and as of January 1, he can discuss terms with interested clubs.
Dinorah Santana, who is Alves's former girlfriend as well as his agent, has revealed that no contract offer is currently on the table from Barca for the Brazilian defender.
"If the club wanted to extend his agreement then they should already have done so. I wouldn't have done things that way," Santana told Cadena Ser.
"Clubs that want him will emerge in December or January and then we'll see what he wants to do, although we haven't spoken to anybody. Dani just wants to concentrate on playing and not worry about the future."
Manchester United are said to be interested in the defender.