According to The Scotsman, the Wimbledon champion told his fans on Twitter that he would visit medical professionals 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, the report said.
Murray said that he had his fingers crossed that everything was healing properly and hopefully he could start rehab soon.
Dunblane-born Murray hopes to return to action at the Dream Cup in Barbados after surgery two weeks ago, the report added.
The world No 3 has been named alongside Juan Martkn del Potro, Nicolis Almagro and Richard Gasquet in the four-man exhibition tournament, which begins on 28 November, the report further said.
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, according to the report.
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, the report mentioned.
--ANI (Posted on 07-10-2013)