The France international is believed to have passed out in front of team-mates in the dressing room at Chelsea's Cobham facility after a session on Saturday (AEDT).
Kante was tended to swiftly by a club doctor and, after regaining consciousness, was sent for cardiology tests.
The 26 year-old was found not to be suffering from a heart problem or any other medical condition and travelled with team-mates for Monday's (AEDT) Premier League game at Manchester City.
The reigning PFA and Football Writers Association Player of the Year sat out the match, where Chelsea subsided meekly to a 1-0 defeat against Pep Guardiola's runaway leader, but returned to training successfully the next day.
A Premier League winner in each of the past two seasons, former Leicester City favourite Kante has played 35 times in all competitions for Chelsea this term.
Antonio Conte's side lie fifth in the Premier League and return to top-flight action at home to Crystal Palace on Saturday, before travelling to Barcelona in the Champions League with their last-16 tie poised at 1-1.