England under-21 international Chilwell, 20, has only started three Premier League games for the Premier League champions.
But Liverpool boss Jurgen Klopp has been keeping tabs on him since last summer and rates him among the finest prospects in the country.
He is tipped to make Gareth Southgate’s senior England squad as soon as he gets some more first team experience under his belt.
Ben Chilwell is tipped to make Gareth Southgate's England squad once he plays more first-team games
Jurgen Klopp has been keeping tabs on Chilwell since last summer
Chilwell last summer signed a new contract keeping him at the King Power Stadium until 2021 but that won’t put Liverpool off finally landing their man this summer.
Arsenal have also been monitoring his progress but it is now certain that Arsene Wenger will quit the club in the summer placing any interest in doubt.
Liverpool training pictures from La Manga training camp
Fri, February 17, 2017
Click to reveal the best snaps of Liverpool at their La Manga training camp in Spain
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Click to reveal the best Liverpool pictures from their La Manga training camp
Leicester see Chilwell as a bright prospect for the future and will want to keep hold of him especially if they fail to beat the drop into the Championship.
But Klopp is ready to offer around £10 million for a player that he failed to sign for £7 million when his bids were rejected last summer.