"We all know he is a fighter and will not give up," reported BBC citing the family in an online statement.
Schumacher, who turns 45 Friday, remains in a stable but critical condition, his manager said earlier.
The most successful F1 racer in history is in a medically induced coma in hospital in Grenoble, after a skiing accident in the French Alps. He was skiing off-piste when he fell and hit his head Sunday. His helmet cracked on impact after hitting a rock.