However, it is unlikely Brondby would reject Liverpool's offer for a player who is out of contract in 18 months.
Brondby chief executive Per Bjerregaard expects Agger to be training with his current club this week and has dismissed the suggestion personal terms with Liverpool have already been agreed by the player.
And he said last night: "It is 100% rubbish and is not true that personal terms have been agreed. It is true that Liverpool are one of the clubs that are interested but there are also other Premier League clubs interested in him.
"People seem to think that this story is more developed than it is in real life.
"As a guy who loves football, I want to keep our best players, but I'm realistic that there comes a time when good players have to leave."
Juventus and Bayern Munich have also been linked with Agger, but the fact Bjerregaard has named Liverpool for the first time suggests a deal is in the works.