Rafael Nadal's uncle Toni says there is no timetable for his nephew's return, putting his participation at Wimbledon in question.
The former world No 1 was forced to pull out of the French Open, an event he had won nine times, after two rounds when he suffered a wrist injury.
Nadal's rehabilitation has begun but the all-important return to tournament action is yet to be decided, with less than three weeks until Wimbledon begins.
"He is in the phase of rehabilitation. We haven't fixed a date for his return because the important thing is that he returns at full strength," said Toni Nadal.
"We also don't want to put in danger his participation in the Olympic Games.
"He will return when the doctors are convinced that all is going well. He won't play unless he's 100 per cent."
Wimbledon, the third Grand Slam event of the season, starts on June 27 with current world No 1 Novak Djokovic looking to add to his Australian and French Open titles.
The Olympic Games tennis tournament gets underway on hard courts in Rio de Janeiro on August 4.