According to a report in French newspaper Le Parisien, it's said that the Swiss ace was being treated by cardiovascular surgeon Philippe Menasché, described as a "pioneer in cell surgery".
On Monday, he was admitted in Paris' Georges-Pompidou hospital for cell therapy surgery.
Schumacher was set to leave hospital on Wednesday
The newspaper said Schumacher was due to receive an anti-inflammatory stem cell perfusion on Tuesday.
He was also set to leave hospital on Wednesday after being transferred from his house in Gland in Switzerland via an ambulance.
His entourage have issued no comment on the report and the hospital too has made no statement about his presence or health.
'I can assure you that he is conscious'
Le Parisien quoted an unnamed nurse at the hospital. She said that he is conscious which suggests there is a possibility of his recovery. "Yes he is in my service," the nurse was cited as saying. "And I can assure you that he is conscious."
Jean Todt and other F1 members pay visit
The report also said Schumacher's former Ferrari boss Jean Todt and other familiar F1 faces made a visit to see their close friend in Paris.
Todt was believed to have spent around 45 minutes in the hospital.
This was after the funeral of F2 driver Anthoine Hubert in the French city of Chatres.
Hubert had recently passed away after a crash in Belgian GP.
What had happened to Schumacher?
Earlier, Schumacher was placed in a medically-induced coma for six months after he hit his head on a rock while skiing in Méribel on December 29, 2013 with his then 14-year old son, Mick.
He was moved from Grenoble hospital to Lausanne before returning back home in September 2014.
Corinna Schumacher, 50, his wife, has been taking care of him since then.
What's known about Schumacher's condition?
Schumacher's wife has declined to give any updates over the years regarding her husband.
However, reports state that Schumacher is unable to walk or make any sort of communication.
Earlier this summer, Todt had stated that he was "very well looked after. He lives with his family. He is continuing to fight (to get better)."