Doctors treating Michael Schumacher say the Formula One legend remains in a stable but critical condition following his life-threatening skiing accident.

Schumacher has been in a medically induced coma since the accident on December 29 in the French ski resort of Meribel.

“The clinical state of Michael Schumacher is considered as stable and is being constantly monitored as he receives medical treatment,” a statement from Grenoble’s University Hospital said on Monday.

“However, the medical team in charge of his care underlines that they continue to consider Michael’s condition as critical.”

The team treating Schumacher said they would be giving no details of the treatment the 45-year-old is receiving in order to protect his right to privacy.

Meanwhile, French prosecutors have said they will this week brief journalists on their investigation into Schumacher’s accident.

A press conference will be held on Wednesday at 1000 GMT (9pm AEDT) in the Alpine town of Albertville, local prosecutor Patrick Quincy told AFP.

Investigators are focusing on the retired racer’s speed when he fell and slammed his head on a rock on a small off-piste section, prompting his evacuation by helicopter to Grenoble.

Prosecutors are also looking at whether the limits of the ski runs next to the accident site were correctly marked and whether the rock in question was lying close enough to the piste to require some kind of protection or signage.

They are also examining whether the safety releases on Schumacher’s skis operated properly in a probe aimed at determining responsibility for the accident.