However he has now resumed individual training at the club's Cobham base.
After a negative Covid-19 test ahead of the first day of training on Tuesday, the 29-year-old did complete one session before communicating his concerns ahead of missing the work-out on Wednesday.
Head coach Frank Lampard has held further talks with Kante over the phase two protocols and the safety measures the club are taking around the return to contact training.
La hausse sera " significative ", promet Philippe [Vidéo — Rémunérations des soignants
Le Premier ministre a ainsi délimité plusieurs grands enjeux: l'un d'eux, la revalorisation des rémunérations des soignants . Le Premier ministre a ensuite évoqué "l'enjeu de l'investissement et des modalités de financement de l'hôpital".
The France midfielder, 29, took part in the club's first session on 19 May but then made a decision to train at home, a move supported by Chelsea.
A number of BAME players across the league have been reluctant to return to training.
"It's very understandable", the 38-year-old told TNT Sports.
Kante also collapsed in the dressing room at Cobham in March 2018 in front of his team-mates, which led to him missing a match against Manchester City.
NHL Announces 24-Team 2020 Playoffs Format
Chicago, Columbus, Dallas, Edmonton, Las Vegas, Los Angeles, Pittsburgh, Toronto and Vancouver are also under consideration. They include a maximum of six players on the ice at a time, no contact and no coaches for voluntary workouts.
But Chelsea are making it clear they will not pressure the World Cup victor if he is not ready to return.
The 29-year-old's older brother, Niama, died of a heart attack shortly before the 2018 World Cup in Russian Federation and the midfielder lost his father when he was just 11 years old.
According to the Office for National Statistics, black men and women are almost twice as likely die from coronavirus as white people in England and Wales.
" "L’OMS suspend " temporairement " tous ses essais avec l’hydroxychloroquine — Coronavirus
La décision de l'OMS s'appuie sur une étude publiée dans la prestigieuse revue médicale The Lancet vendredi 22 mai 2020. Ainsi il n'y aura plus de tests sur de nouveaux patients et cete décision prendra effet dans les 24 prochaines heures.