Michael Schumacher "is out of danger" and has been moved to a rehabilitation ward at Grenoble hospital, according to reports.
Schumacher, 45, had shown "moments of consciousness" in April, after being placed in a medically-induced coma.
However, the chances of Schumacher recovering have all but disappeared, amid speculation he is in a vegetative state, meaning the German is awake but unable to move or speak.
Former Benetton team boss Flavio Briatore, who won his first world championship with Schumacher as his driver in the 90s, said "no news is not good news".
"I'm quite afraid, and virtually certain, we will never have any good news about Michael," Briatore told Italy's Radio 24. "There is no news because the family is very closed. They are not communicating. But surely no news in this case is not good news."