The Denmark international has emerged as a summer transfer target for the Premier League champions, but the Anfield boss is determined to hold onto the centre-back.
“There’s no way I want to lose one of my best players and Daniel is one of the leading centre halves in European football,” The Daily Mail quote Rodgers as saying.
“There’s been contact from City, yes. But it’s nowhere near the valuation of what the player is worth and you can only consider something like that if it is going to benefit you.
“Of course you might lose a top player but if it benefits you going forward – and you can make two or three steps because of it – you may have to consider it.
“But we don’t want to sell Daniel. So unless someone comes in with a ridiculous offer, that makes you think you can benefit in one or two other areas, (we will not).
“Daniel and I have had a number of conversations so he knows where I am at, he knows where the club are at and he doesn’t want to leave, which is great, Rodgers confirmed.
Meanwhile, Mirror Football indicate that City will return with another bid for Agger of around £23 million, and will also offer Adam Johnson on a season-long loan deal.
By Gareth McKnight