Lampard has always maintained Kante is an important member of his squad and has started the midfielder in each of the first four Premier League games of the season.
The 29-year-old is now back to full fitness after missing large chunks of last term due to a string of injury problems.
Chelsea chiefs were reportedly willing to sell Kante in order to fund a move for West Ham star Declan Rice in the summer.
However, a deal failed to materialise and he will remain with the Blues until January at least.
French outlet Le Parisien claims Kante was willing to move to Inter to link up with his former Chelsea boss Antonio Conte.
However, the report says it is not the fact that Kante has remained at Chelsea which has soured his relationship with head coach Lampard.
It is instead claimed that Lampard rejected Kante’s request of missing a day of training to attend the wedding of a close friend.
Kante has found that decision hard to accept.
This is the baddest guy around town. Hook me up so that we can share some routine infor in the area.