The Denmark international was quoted as saying that he could leave Merseyside in January if he fails to win back his place in the first team.
The vice-captain began the season as manager Brendan Rodgers's first-choice centre-back, but following a rib injury, the 28-year-old has failed to break up a back three of Mamadou Sakho, Martin Skrtel and Kolo Toure.
Following rumours that he is poised to leave the Reds, Agger took to Twitter to insist that he is "not going anywhere".
Please stop all the tweets about me leaving! I'm not going anywhere! Will be back in the team soon:) Y.N.W.A— Daniel Agger (@DanielAgger) October 29, 2013
Reports have claimed that Premier League rivals Arsenal are monitoring the Dane's situation at Anfield.