The German has spent a third night at the University Hospital of Grenoble, where he was taken after the accident on Sunday.
The 44-year-old seven-time Formula One world champion hit his head at Meribel in the French Alps and there was grave concern for his condition.
He was put in a medically-induced coma and there were genuine fears for his life on Sunday and Monday, but better news came on Tuesday when doctors reported a slight improvement in his condition.
There was no need for the doctors to face the media on Wednesday either, with Schumacher's manager Sabine Kehm giving an update from outside the hospital.
Kehm said: "Michael's condition has been supervised all the night and remained stable over the night and also now.
"The good news for today is that we do not have the feeling to hold a press conference because there are no significant changes."
Kehm's briefing is the latest positive signal to come out of the hospital after those treating Schumacher reported better news on Tuesday.
They said there had been a slight improvement in his condition, with surgery carried out to remove a dangerous haematoma on his brain.
Doctors had not expected to be able to carry out the procedure so quickly, but a scan showed them that the pressure on Schumacher's brain had eased sufficiently for them to do so without risk.
The improvement continued into Tuesday morning, with Kehm now reporting a period of calm, a day after the told of how a journalist had posed as a priest in order to try and access Schumacher's hospital room.