The Frenchman picked up the injury after the Carabao Cup final defeat to Liverpool at the end of last month.
Manager Mauricio Pochettino has claimed that Nkunku could be sidelined for up to a month so a comeback after the international break is on the cards.
If he is to be available for the Burnley game in 10 days’ time, though, we should see the 26-year-old back on the training field imminently.