The Danish international is thought of as a key player at Anfield, but there have been small murmurings of discontent coming from the Scandinavian’s camp in recent weeks.
Agger found himself out of Brendan Rodgers’ first-team recently after recovering from injury thanks to the form of the likes of Martin Skrtel, Mamadou Sakho and Kolo Toure.
He has since slotted back into the Reds’ set-up, but could still be tempted by a move away from Merseyside.
Benitez – who signed the centre-back from Brondby in 2006 while at Liverpool – is known to be a fan of the classy defender, and would like to make him a part of his Napoli side.
He is said to be ready to offer Agger a significant pay rise in the hope that he can tempt him to relocate to Naples.
The Kop vice captain rejected a switch to Barcelona over the summer, and has been consistently linked with big moves over the course of the past few years.
Rodgers is thought o be keen to keep his man, who is seen as integral member of the club’s squad.
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