However, contrary to claims, Kante has not fallen out with Lampard and there is no issue between the player and the manager at Chelsea.
According to French news media outlet Le Parisien, the Frenchman was left furious after he was not allowed by the English boss to attend a friend's wedding before the worldwide break.
N'Golo Kante: Chelsea deny Frenchman wants to leave club clash with Lampard.
As per this report, the reigning French champions will make a move to sign the French national team star this coming Summer.
However, a spokesperson of the west London club has denied all claims calling it total nonsense.
Rumours of a bust-up with Lampard came as a huge surprise considering the pair came into the season on good terms.
It marks a drastic change in relations with the Chelsea boss, who had granted the midfielder compassionate leave earlier this year amid his concerns over returning to football in the midst of the coronavirus pandemic.
The Frenchman still has under three years left remaining at Stamford Bridge but has been linked with a move away from Stamford Bridge for most of this year.
Furthermore, Rice has time on his side to develop at just 21 years of age, whereas Kante is closing in on his thirties at 29 years old.
Kante has featured in all four of the Blues' Premier League games so far and looks set to be a key part of Lampard's squad this season.
Kante has two Premier League titles under his belt with Leicester and Chelsea as well as the FA Cup and the 2019 Europa League.