The defender is boosted by the Spanish club's desire to sign him this summer, though he admits he would find it difficult to leave Anfield, where he has been playing since 2006
Earlier in August, the Denmark international's agent claimed Liverpool had rejected a bid from the Spanish club for the 28-year-old.
|13/8||Liverpool are 13/8 with Bet365 to beat Manchester United on Sunday
"Overall you have to think that it [Barcelona's interest] is a positive," Agger told Jyllands-Posten.
"It is a positive that someone likes what you are doing. When a club such as Barcelona think that then it is a boost and for that I am pleased. I am not going to deny that but that doesn't mean that anything [a move] happens.
"If a move doesn't happen then that's that. That's nothing I can dictate or decide. I have a contract with Liverpool for another three years and if they want to keep me, they will keep me."
Agger, who signed a new contract with Liverpool in October, concedes he would find it difficult if he ever had to leave the club.
"Liverpool will always be the club that have given me almost everything in my career," said the defender.
"When the time comes for me to leave, I want to have the same relationship that I have with Liverpool that I have now.
"I have spent eight years here. That has an effect on you. And because of that I am never going to lose the relationship I have with Liverpool if I, for example leave in three years when my contract expires."