The Bayern ace had to undergo a scan on his back on Saturday afternoon, but the results have shown up positively for Les Bleus
The Bayern Munich winger missed Les Bleus’ 4-0 win over Norway earlier this week and will not feature in Sunday’s friendly against Paraguay in Nice due to a back problem, but a scan in Paris on Saturday afternoon showed positive results for Didier Deschamps’ side.
"The exams that he has undergone have shown there is no danger of him missing the competition," Le Graet told the media.
"He was a little worried because he had a little pain in his lower back, but it is not of a serious injury. He will certainly resume training next week."
Ribery has not always enjoyed particularly popularity in France but after being nominated for the 2013 Ballon d’Or he is widely considered to be a vital player in Deschamps’ side if they are to enjoy a strong run in the competition.
The coach, who will also be without Real Madrid duo Karim Benzema and Raphael Varane on Sunday, spoke extensively about the winger in his press conference: "We're doing everything possible to get him in the best condition.
"Our goal is to have everyone ready for the last preparation match against Jamaica next Sunday."
Deschamps does not believe France are unique in having personnel problems at this stage and is unflustered by the issues he faces ahead of the opening World Cup match against Honduras.
"Look at the other national teams: [Cristiano] Ronaldo was missing, I saw Spain yesterday and they had many players who did not feature," the former Juventus coach stated.
"I remind you that the goal is to have everyone fit on June 15."
With 81 caps to his name, there is no player in the current French squad who boasts greater international experience than the 31-year-old.