"They are trying to support him by being by his side," Kehm said.
One visitor returning to the hospital Wednesday was Jean Todt, president of the FIA motor racing governing body and team principal at Ferrari when Schumacher won five straight F1 titles from 2000 to 2004.
Schumacher is the most successful F1 driver in history, racking up a record 91 race wins. He retired from Formula One in 2012 after garnering an unmatched seven world titles.
His accident has drawn immense media attention, and Kehm confirmed Wednesday that earlier in the week security at the hospital stopped a journalist who was posing as a priest from approaching Schumacher.
"Security got him before he got close," she said.
Schumi, as his fans affectionately call him, was famously aggressive on the track and no less intense off-hours. In retirement, he remained an avid skier, skydiver and horseback rider.
Kehm said the Schumacher family traditionally spends Christmas and New Year holidays at Meribel, where they own a chalet, and to celebrate the German racer's birthday.
DiLorenzo reported from Paris.