"I am devastated at not being able to play in Australia, but this is a safety precaution," Murray told The Guardian.
Earlier this year, the star made a comeback following a successful hip operation, but in October he injured one elbow when he won his first tournament in two and a half years. Then he also had groin problems during the Davis Cup in November.
Murray's team hopes the 32-year-old can return in February, but misses 2020's first grand slam.