And the latest message from the former Ferrari and Mercedes driver's family, including his wife, children, father and brother Ralf, said they are "deeply touched" by messages of support from around the world.
"That gives us strength," the statement reads.
"We all know he is a fighter and will not give up!"
One of the messages of support in the past days has come from Ferrari's Fernando Alonso, who said he is hoping "to hear some good news as soon as possible".
A neurosurgeon at France's university of Bordeaux, Jean-Marc Orgogozo, told Le Point newspaper: "Every day, every week you are in a coma, the chance that the situation will improve diminishes."
Schumacher fell whilst skiing in the French Alps a few days before Christmas, striking his helmeted head on a rock and lapsing into coma with brain injuries.