Frank Lampard has frequently spoken highly of the 29-year-old, who has won the Premier League and Europa League during his four-year spell at Stamford Bridge.
However, at a time when the Blues are looking to recoup funds to sign West Ham United's Declan Rice, Kante has been linked with an exit.
According to Gazzetta dello Sport, the World Cup winner would be happy to secure a reunion with former boss Antonio Conte at San Siro.
Inter have allegedly been informed that it will take a bid of £46m for Chelsea to give the green light for Kante's exit.
The Serie A side must make at least one sale before being able to meet the demands set by the West London side.