“We are and remain confident that Michael will pull through and will wake up,” the relatives said in a statement.
Doctors in France have been working to bring the seven-time champion out of a medically induced coma.
The 45-year-old German suffered a severe head injury in a skiing accident in the French Alps on 29 December.
He has been kept in a coma to help reduce the swelling in his brain
On Wednesday, Mr Schumacher’s manager, Sabine Kehm, released a statement on behalf of his family because of “an increasing interest in [his] condition in light of the start of the Formula 1 season”.
The family praised the efforts of the French doctors, but also warned this was “a time to be very patient”.
“It was clear from the start that this will be a long and hard fight for Michael.”