And with a move to Stamford Bridge imminent, Lineker has had his say on the matter.
He tweeted: “Wish Kanté well and thank him dearly.
“He’s the main reason Leicester won the title and will make a massive difference to Chelsea’s chances.”
Should a deal be completed, it will be Antonio Conte’s second signing of the summer after acquiring Michy Batshuayi for £32m last weekend.
The Blues are still hoping to sign Napoli defender Kalidou Koulibaly, although they face competition from Everton for his signature.
Meanwhile, Conte’s squad flew out to Austria yesterday for the start of their week-long pre-season training camp.
Chelsea kick off their Premier League campaign at home to West Ham on August 15.