World Cup winner Kante trained separately from the Blues squad in Ireland last week, but will now integrate with his teammates in Japan.
"N'Golo hopefully is going to integrate into proper training this week with the rest of the team," said Lampard at a press conference in Japan.
"It's an injury that came from the backend of last season. I don't envisage it being too long. Hopefully he can take part in one of the games while we are here.
"With the amount of games he has played in the last few seasons, it's very important to be cautious, and with the type of player he is, a really energetic, fit lad. Pushing him at the start of pre-season wasn't necessary.
"We will take it a bit easy and we want him fit for the start of the season. I am [confident he will be] as it stands, but I hate making too many predictions."