Another option for Benitez may be 19-year-old Spanish defender Daniel Ayala, who featured alongside Jamie Carragher in Wednesday night's 4-0 Premier League win against Stoke.
Agger arrived at Anfield from Brondby for £5.8m in January 2006.
The Denmark international, who featured 25 times for Liverpool last season, is likely to be fully rehabilitated from his back injury by November.
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