The Danish centre-back looks likely to leave Anfield before the transfer window closes following the signing of Dejan Lovren.
The big money Croatian is likely to compete with Mamadou Sakho and Martin Skrtel for a starting berth, which will leave Agger out in the cold.
It’s understood that he has confronted Brendan Rodgers about the situation, which looks set to climax in his sale.
Agger has been a Liverpool player since 2006, but his injury record has prevented him from nailing down a regular slot in the first XI and he is now desperate to get away and play regularly.
Barcelona had been mooted as a destination, but with Thomas Vermaelen the Spaniards’ latest signing a deal looks unlikely.
West Ham, Spurs and Arsenal are also in the battle, with the London trio all keen on the classy Scandinavian.
The Gunners appear to be the most likely suitors, but Sam Allardyce has been buoyed by Agger’s £10m price tag, while Tottenham are making contingency pans as their move for Mateo Musacchio stalls.