It is thought the reigning Premier League champions will up their contract offer, although it is unclear how much this will be.
Kante has been afforded a break after his participation at Euro 2016 with France.
Jamie Vardy has already verbally agreed a new £100,000-a-week deal with the east Midlands outfit, while talks are ongoing over new deals for Danny Drinkwater and Kasper Schmeichel.
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