Leicester also want to reduce the number of players in their squad and sell players who the coach does not want. That is to stop them leaving next year for free.
Demarai Gray is one of them. According to 'Mercury', the left winger's future is up in the air because Brendan Rodgers have offered him the opportunity so that he can get experience and game time elsewhere.
Last season, Gray made 29 appearances, eight of them as a starter, he scored three goals and gave five assists.
In Slimani's case, 'Sky Sports' have said West Bromwich Albion are the club most interested in getting hold of the striker whose contract also expires in 2021.
Slimani played last season at Monaco and he has been at Fenerbahce and Newcastle since he last played for Leicester in the 2017/18 campaign.