The 25-year-old full-back picked up the injury during a warm-up ahead of Scotland’s autumn Test victory over Australia in November of last year.
Hogg, who has 55 caps for Scotland, was forced to watch from the sidelines as his teammates recorded a historic 53-24 scoreline against the Wallabies at Murrayfield.
But having spent the last two months in recovery, the 25-year-old is now confident of nearing a return ahead of Scotland’s Six Nations opener against Wales in Cardiff.
"Hopefully I'll be back on the pitch in the next couple of weeks and ready to rock and roll again," Hogg told BBC Radio 5.
"We're getting there now.”
He also explained how he sustained the injury. "I actually did it midweek. The place we train for Scotland, you've got about five metres between the try-line and a brick wall, and I'd been running full pelt to score a try and then had to stop suddenly, and I think I pulled it.
"In the warm-up, I kicked the ball and I felt as if somebody had stabbed me in my hip. It was a bit frustrating because I was just coming back from a long-term shoulder injury, I was feeling good, starting to get a little bit of form back and had to start back at square one.
"I've never really picked up any injuries - to end up get a fractured eye socket, have to get your shoulder operated on, it has been a bit frustrating."