Wife Corinna, 44, and children Gina Marie, 16, and son Mick, 14, remain by the 45-year-old's bedside and thanked fans for their support on his official website earlier this month.
"We are deeply touched by all the messages to get well soon for Michael which still are being sent. That gives us strength. Thank you all so much!" the statement read.
"We all know, he is a fighter and will not give up!"
And as F1, the sport which Schumacher dominated at the turn of the millennium, begins its winter testing programme in Jerez this week, former colleagues and fellow drivers have been sending their own words of support.
Four-time world champion Sebastian Vettel grew up idolising Schumacher and the two remain close friends.
The Red Bull driver is tipped to overtake Schumacher's haul of world records, including world championships, race wins and pole positions during his career, but the 26-year-old admits his is "praying for a miracle" that will see his childhood hero recover.
“It’s horrible, especially for his family and close friends not knowing what’s going to happen,” said Vettel.
“In that regard I am still a shocked as everybody else and I pray and hope he will come back and the miracle will happen and he will be the person he always has been before."
Ferrari, the team with whom Schumacher won five consecutive world titles, sent a #forzaMichael picture earlier this week, while the new Mercedes car features a #keepfightingmichael hashtag on its side as the F1 teams come to terms with their former driver's condition.