The Wimbledon champion told his fans on Twitter that he will visit medical professionals today to determine whether his back is healing.
The 26-year-old was forced to cancel all of his tennis commitments due to the injury, including the French Open. Last night he wrote: “Seeing surgeon/doctor for first time since surgery tomorrow, fingers crossed everything is healing properly and I can start rehab soon!”
Dunblane-born Murray hopes to return to action at the Dream Cup in Barbados after surgery two weeks ago.
The world No 3 has been named alongside Juan Martín del Potro, Nicolás Almagro and Richard Gasquet in the four-man exhibition tournament, which begins on 28 November.
Whether he can take part or not depends on him going through a rehabilitation programme following his surgery on a disc to correct the injury.
He is expected to join coach Ivan Lendl at a winter training camp in Miami, Florida, next month, where he will focus on preparing for a third grand slam bid at January’s Australian Open.