The 24-year-old has had his injury problems this season but has still been in strong form for the Foxes, scoring eight times and contributing seven assists in 29 Premier League appearances.
Manchester United have previously been strongly linked with the England international, who has a contract at the King Power Stadium until June 2024.
However, the Red Devils now appear to have other priorities in the transfer market, with a centre-back and right-sided attacker expected to arrive at Old Trafford this summer.
According to Fichajes, Man City and Chelsea are both keen on Maddison and could go head-to-head for his signature ahead of the 2021-22 campaign.
The attacker has 11 goals and 10 assists in 39 appearances in all competitions for Brendan Rodgers's side this season but could still miss out on a spot in the England squad for Euro 2020.