According to speculation from the Herts & Essex Observer, Tottenham are believed to be targeting a swoop for the £12m-rated 29-year-old, who has also been heavily linked with fierce North London rivals Arsenal in recent weeks.
Agger to leave Liverpool
Last season was a relatively miserable one for Agger, who lost his place in Liverpool's starting lineup as Brendan Rodgers opted instead for the likes of Martin Skrtel and new signing Mamadou Sakho in the heart of defence.
The Dane made just 20 top-flight appearances in total for the Reds during the 2013/14 campaign as Rodgers' side secured a return to the Champions League and came within a whisker of their first title triumph in 24 years.
Agger's obvious unhappiness about his declining influence at Anfield appeared to come to a head last week, with the former Brondby centre-back having supposedly made a tearful request to leave Liverpool during their pre-season tour of the United States.
Given his apparent lack of future on Merseyside, transfer rumours regarding Agger have been rife during the current summer transfer window.
Arsenal have been credited with a strong interest, with Arsene Wenger appearing to view Agger as an ideal replacement for Thomas Vermaelen, the Arsenal captain who joined Spanish giants Barcelona in a £15 million deal at the weekend.
While a switch to the Emirates Stadium would offer Agger a reasonable chance of winning further silverware, it is important to note that Arsene Wenger has a very settled first-choice centre-back pairing in the shape of Laurent Koscielny and World Cup winner Per Mertesacker and would unlikely to be in a position to offer the Liverpool man more regular first-team opportunities.
Tottenham, on the other hand, are in need of upgrading their defensive options, with Michael Dawson arguably now struggling to cope with the pace of the Premier League and Vlad Chiriches linked with a move to Roma as the Serie A outfit prepare for the possibility of life without Mehdi Benatia.