The Daily Mirror, as quoted by talkSPORT, is reporting that the France international could be lured to the Ligue 1 champions in the summer transfer window.
The same article states that PSG are looking at Kante as a potential replacement for free agent Adrien Rabiot ahead of the new season.
PSG are thought to be ready to make a huge offer to sign the World Cup winner in the hope that they can tempt Chelsea FC to sell.
According to the same story, Kante will cost the French club in the region of £90m following his impressive three-season stay at Stamford Bridge so far.
Chelsea FC signed the defensive midfielder in a £30m deal from Leicester City following the Foxes’ title success in 2015-16.
Kante helped Antonio Conte to transform Chelsea FC into Premier League title winners in his first season at the Stamford Bridge outfit.
However, current Blues boss Maurizio Sarri moved Kante into an unfamiliar advanced role following the arrival of Napoli holding midfielder Jorginho last summer.
Kante scored four goals and made four assists in 36 games in the Premier League in the 2018-19 season.
Chelsea FC will taken on Arsenal in the Europa League final in Baku this month.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news