Lallana will see his contract at Anfield expire at the end of June, meaning that, as it stands, he will be available on a free transfer this summer.
A number of clubs have been linked with the Englishman in recent weeks, but according to Sky Sports News, Leicester have now made an initial approach for the 31-year-old.
Liverpool have reportedly made it clear that the former Southampton captain will not be offered a new deal by the Merseyside giants.
Lallana is currently free to sign a pre-contract with a foreign club, but the Reds would have to give permission for their player to enter talks with another English side.
The attacker, who is also thought to be interesting Arsenal and Tottenham Hotspur, has contributed one goal and two assists in 19 appearances for Jurgen Klopp's side during the 2019-20 campaign. body check tags ::