The Anfield boss has told the Premier League winner that it would take a "ridiculous offer" in order for him to part ways with his Danish center back.
There had been reports that Liverpool had rejected a bid in the region of 20 million pounds from Manchester City for Agger, and Rodgers says it would take "a ridiculous offer" for Liverpool to sell one of its prized assets.
"Daniel is one of the leading center halves in Europe," Rodgers told reporters. "There's been contact from City but it's nowhere near his value. 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 forward because of it — you may have to consider it. But we don't want to sell him so unless someone comes in with a ridiculous offer, there's no way I want to lose one of my best players."
The 39-year-old has reassured fans from Merseyside that Agger does not want to leave after speaking to him when he took over the helm at Anfield.
He added: "There's always rumor, particularly in this period. It's just a shame the window does not shut as the season starts.
"But 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. In my first conversation with him at the Euros he made that quite clear.
"He loves the club, loves the fans, so that was music to my ears — but we'll see."
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