The seven-time champion driver suffered severe head injuries in a high-speed skiing accident in the French Alps in December 2013 and in now cared for in his mansion near Geneva, Switzerland.
Brunte magazine quoted a family friend as saying the family were receiving some form of communication from the F1 legend.
The friend said Schumacher is “sending signals from his distant world” and that the family was hoping for a medical miracle.
And the friend told the magazine Schumacher was “doing well in the circumstances”. The friend added: “Corinna and the children hope to this day that a medical miracle happens.”
Schumacher was put into a medically induced coma for six months after his accident and doctors removed blood clots from his brain in two life-saving operations.
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Three months later a statement was released confirming that the F1 champion was no longer in a coma and had left Grenoble Hospital.
He is now understood to have a 15-strong team of medics looking after him round the clock.
His family keep his condition a closely-guarded secret.
In a statement issued in December 2016 his manager, Sabine Kehm, said: “Michael’s health is not a public issue, and so we will continue to make no comment in that regard.
“We have to protect his intimate sphere. Legally seen and in the longer term, every statement related to his health would diminish the extent of his intimate sphere.
“Michael has always been very protective of his privacy, even during the most successful times of his career.
“He has always made sure there is a clear and distinct line between his public persona and his private one.”
Recently a Schumacher Instagram account brought fans to tears four years on from his horrific accident.
An iconic image of the record-breaking Formula One driver kissing his Ferrari at the peak of his career has been shared widely across the racing heroes huge fan base.
The picture was captioned: “An emotional day for Michael on 29 October 2006 at the Ferrari day in Monza, with big acts of friendship and also some tears.
“Michael kisses his Ferrari from the 2006 season, a present from the Team. Team Michael Keep Fighting.”