Reds' vice-captain admits he could seek pastures new when his contract expires in two years time
But the Denmark international admits he could seek pastures new when his current contract expires.
Agger, who will be 30 when his deal expires in the summer of 2016, was courted by Barcelona during the summer only for Liverpool to rebuff overtures from the Spaniards.
The centre-back has no issue with the actions of the Anfield outfit and is intent on clocking up a decade with the club having signed in January 2006.
“The (Barcelona) move was up to the club,” said Agger.
“The club would not sell me. I do not know [if I will play at another club].
“Right now I have two and a half years left on my contract, and I intend to fulfil my contract.
“I’m glad to be at Liverpool and playing well. We have a great team, and if I can win something it will be great. Liverpool is a huge club.”
Agger, named club vice-captain to Steven Gerrard in August, has been on the bench for Liverpool’s last two league games having suffered a freak rib injury last month.
And he added: “In January I will have been here for eight years and if you count how many central defenders who have been through the system since then, you will need more than one hand.
“It’s a lot and I am still here.”
Among the new centre-back arrivals is Tiago Ilori, signed on transfer deadline day last month from Sporting Lisbon.
And the 20-year-old Portuguese believes his game is more akin to that of German legend Franz Beckenbauer than retired Liverpool favourite Jamie Carragher.
“I admired him as a player,” said Ilori of Carragher.
“We’re different – he’s done everything in the game and I’ve done nothing yet, but also in terms of the way I play and the way he played.
“We’re different but I respect him enormously for what he’s done for Liverpool Football Club.
“I can be aggressive when I need to be but that’s not the main part of my game. I think I’m relatively quick. I like to come out with the ball and try to build play from the back. I also like to go forward for set-plays.
“You tend to look at your own position and I was always told about Franz Beckenbauer and saw lots of videos of him while I was growing up.
“I respect all defenders who have been able to have some success in the game but I would love to play like Beckenbauer.”