"Michael's sedation is being reduced in order to allow the start of the waking up process which may take a long time," Schumacher's manager Sabine Kehm said in a statement.
He has been in a coma at a specialist clinic in Grenoble since he hit his head during the accident in the French Alps more than a month ago, the Guardian reported.
Schumacher had responded positively to neurological tests that were conducted on Monday, French newspaper L'Equipe said.
Senate Democrats to pull all-nighter on climate change
Susan Sarandon 'very excited' about daughter's pregnancy