The surgery will likely prevent the 26-year-old from playing again this season, BBC reported.
Murray reportedly has a disc problem in his lower back. The injury flared up in May forcing him to withdraw from the French Open.
Murray returned to the courts in July and became the first British man to win the Wimledon singles since 1936. But his back problems resurfaced in September costing him the U.S. Open quarter finals.
Murray was scheduled to play three more events in Asia this season, including the Shanghai Masters, then the Paris Masters before heading to the World Tour Finals at the O2 Arena from 4-11 November.
There is no suggestion that next year's schedule will be affected by the operation.