The 14-time winner in Paris, who has won a men's joint-record 22 majors, has been out of action since January after hurting his hip flexor in his second-round match at the Australian Open.
"Rafa will begin his progressive functional rehabilitation in a few hours and the normal recovery process is estimated at five months, always taking into account respecting the biological times of said structure," Benito Perez-Barbadillo said.
Nadal, who turns 37 today, has said 2024 is likely to be his last year as a professional player.
He was initially set to miss up to eight weeks but skipped claycourt tournaments in Madrid and Rome to build his fitness after being ruled out of events at Indian Wells, Miami, Monte Carlo and Barcelona this season.
In March, Nadal fell out of the top 10 in the world rankings for the first time since 2005 and is now 15th.