RMC radio reported on Sunday that the seven-time champion had fallen while skiing off-piste at the French Alpine resort of Meribel.
The radio quoted resort director Christophe Gernigon-Lecomte as saying that Schumacher was wearing a helmet when he fell and hit a rock.
Gernigon-Lecomte was quoted on the station's website as saying: "He was shocked, a little rattled, but conscious." He added that the injury did not appear to be very serious.
He said Schumacher was transported to a nearby hospital.
Gernigon-Lecomte could not immediately be reached for comment.