At Roland Garros last month the 21-year-old was forced to pull out before a third round clash with Russia's Andrey Rublev because of a lower back stress fracture.
He had required treatment during his five-set second round win over Jaume Munar for the problem on the clay in Paris.
Fils, ranked 15th in the world, progressed to the last 16 at Wimbledon last year.
The third Grand Slam of the season gets underway on June 30.