Alba, 29, will see his current deal at Camp Nou expire in the summer of 2020, and it is understood that talks over an extension have not yet begun, which has led to frustration.
Tottenham Hotspur have recently been credited with an interest in the Spaniard, while Manchester United and Chelsea are believed to be closely monitoring developments.
Alba, however, has revealed that he is desperate to stay with his Spanish club.
"I'm very happy at Barca. If it depended on me, I would stay at Barcelona my whole life," Sport quotes Alba as saying. "But it doesn't depend only on me, it's also what the club wants.
"It also depends on my performances, which this season have been very good, but I don't see myself away from Barca."
Alba, who is currently with the Spain squad at the 2018 World Cup, joined Barcelona from Valencia in 2012, and has made more than 240 appearances for the Catalan giants.