Murray confirmed last week that he had chosen to have surgery on the injury in a bid to fix it once and for all and it is understood he is unlikely to pick up a racket again this year.
That means he will miss out on November's end-of-season ATP World Tour Finals at London's O2 indoor venue, although the Scot will hope he can return to the tour in a stronger position following his recovery.
On Monday night, he posted on Twitter: "Thanks for all the well wishes, means a lot to me..." alongside a photo of him lying in a hospital bed with both thumbs up.
The 26-year-old added: "First thing I said when I came round was "did I win?" #somethingsneverchange."
The back problem is an issue he has been struggling with all year.
It caused him major problems at the Rome Masters in May and forced him to pull out of the French Open.
The Scot and his team have carefully dealt with the complaint since then, and it did not prevent his run to Wimbledon glory in July.
After competing at the US Open he played a key role in Great Britain qualifying for the elite World Group of the Davis Cup with victory in Croatia, there were concerns that his back was giving him trouble.
However, Murray won two singles matches and partnered Colin Fleming to a doubles victory as Great Britain defeated Croatia 4-1 in Umag.
His straight-sets triumph over Ivan Dodig, which gave Britain an unassailable 3-1 lead, looks to have been Murray's final match of the year.
Providing all has run smoothly with his surgery, Murray should be back on court and targeting the Australian Open in January, before returning to Davis Cup duty at the end of the month when Leon Smith's GB team face the United States.