Kante, 27, was an important member of France's World Cup-winning squad in Russian Federation, but despite heavy links with a return to his home country after former coach Antonio Conte was replaced by Maurizio Sarri, the former Leicester City man is happy to still be in London this season.
Terry, 37, who left Aston Villa in the summer after one season with the Championship club, turned down an offer from Spartak Moscow this week for family reasons.
Maurizio Sarri has said he has been warning his Chelsea players all week about the danger of dropping points after worldwide breaks as they prepare to resume their Premier League campaign at home to Cardiff City on Saturday.
"I remember in my first season in Naples, the average points per match during the season was 2.28, I think", he said.
"I'd expect the Welsh side to be very competitive, but Chelsea will have too much for them".
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Chelsea new boss Maurizio Sarri insists Liverpool and Pep Guardiola's Manchester City are the two top sides in the running for the Premier League silverware at the end of the 2018-19 campaign. The gap was 30 points at the beginning of the season. I have to speak with him.
Chelsea have enjoyed a stellar start to the new Premier League season, and they'll look to keep their momentum going on Saturday.
John Terry will get to make the decision over what job he takes should he opt to return to Chelsea as a coach, says Maurizio Sarri. Cesc Fabregas is returning to full fitness but won't be ready to play this weekend. So I know that the matches after the break are very, very hard.
His first arrived way back in February 2014 during a meeting with Newcastle, but he has now etched his name into Premier League folklore in west London.
"We have to play seven matches in 23 days, so I had to work", he said.