The Brazilian right-back has been strongly linked with a move away from the Catalan outfit after struggling to produce his best form last season.
However, the 31-year-old has said that he is "very happy" at the Camp Nou.
"I want to fulfil the contract I signed," Inside Spanish Football quotes Alves as saying.
"I'm very happy at Barca. We've experienced some marvellous years, although the last ones not so much, but now it's time to enjoy things at the club once more."
Paris Saint-Germain have been credited with an interest in the defender.