Kante arrived at Leicester from Caen last summer as an unknown quantity to most top flight observers.
The France international soon started to earn rave reviews for his energetic style of play, and towards the end of the campaign many felt he was up there with the best signings of the season.
Kante was instrumental in helping Leicester miraculously win the Premier League title, making 37 league appearances and averaging an impressive 4.7 tackles and 4.2 interceptions per match.
Chelsea are looking to embark on a new era under Italian boss Antonio Conte and one area they have targeted to strengthen this summer is the midfield.
Kante, 25, seemingly fits the bill in what the Blues are looking for and their reported bid of £20 million illustrates just how serious they are about acquiring his services.
The Sun go on to say that the midfielder has a buyout clause in his contract at Leicester which falls in line with what Chelsea are said to have offered, although the Blues could have competition for his signature with Arsenal boss Arsene Wenger also a big fan of the Frenchman.