The £15m-rated midfielder hasn't ruled out a move away from Ajax but insists if he goes, it'll have to be to a bigger club.
Tottenham and Manchester United have also been linked with his signaure.
Eriksen told Dutch newspaper Voetbal International: "I do not know more about this than you.“No clubs have shown interest yet”Christian Eriksen
"If I leave, I have to go to a club that is bigger than Ajax in every way.
"But no clubs like that have shown interest yet.
"I've read a lot about it but heard nothing from the club."
It means Rodgers is now set to up the ante in his hunt of Eriksen - and Ajax boss Frank de Boer remains open to the idea of selling the young star.
"I would want nothing more than having him with us for a few more years.
"But we realise the interest in this kind of player is huge. And I can also understand that he wants to make another step in his career. I can't stop him."
The future of Luis Suarez remains up in the air, however.
He has made no secret his desire to leave Liverpool with Real Madrid and Arsenal circling.