Chilwell continues to be linked with a move to Chelsea, who are reportedly in the market for a left back.
Express Sport says, according to Le 10 Sport, Chelsea bosses are set to ‘quickly take action’ by launching an offer for the England international’s services.
Leicester are under no pressure to sell and could demand a fee of £80m for the player.
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Chelsea have also been linked with a number of alternative targets including PSG’s Layvin Kurzawa, Porto’s Alex Telles and Alex Sandro of Juventus.
But former Chelsea player Joe Cole believes Chilwell fits the bill.
“He fits the ethos – he is young, he’s hungry, he’s explosive and athletic,” Cole told the Daily Mail.
“I think he’s got a lot of talent, if he comes to Chelsea, working with the group there – in Brendan [Rodgers] he’s got a great manager and a great team up at Leicester. But Chelsea’s a step up from Leicester.
“I know they are sitting above Chelsea in the table at the moment but having the opportunity to work with Frank and improve would be immense for him.
“He’s got the left-back position for England in his hands at the moment.
“My advice would be to keep performing, keep consistent and if he does do that he can be England’s left-back and if he does come to Chelsea, Chelsea’s left-back for many years. He’s a terrific player, a real talent.”