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The 49-year-old former Wham! frontman has been recuperating at home after nearly two weeks in hospital. British media reported that Michael fell out of a car at speed on a busy motorway outside London during rush hour on May 16.
"He's doing extremely well," Michael's spokeswoman said. "He is writing a new album."
There was no release date for the new material.
The "Careless Whisper" singer has sold an estimated 100 million records over his career, but has hit the headlines for his personal life more often then for his music recently.
The car accident was the latest incident in a string of health scares and other mishaps.
Last year, Michael cancelled a tour of Australia due to "major anxiety" brought on by a 2011 battle with severe pneumonia in Vienna, where he was treated in intensive care for a month.
In 1998 he was arrested in California for "engaging in a lewd act" in a public toilet. He has also had a number of run-ins with British police for possession of narcotics, and served time in jail for driving under the influence of cannabis.