The injury ruled Murphy out of the RWC and for many robbed the tournament of one of the most exciting players in the game. But the 25-year-old is happy with his progress.
"I saw the specialist last week, and he was pretty positive. He told me I could progress with my training, and I've started jogging this week," Murphy told the Leicester Tigers official website.
"The running's not very fluid yet, and I look a bit like a forward when I'm on the treadmill. It feels sore above the ankle, but it's all positive really.
"I'm in the club pretty much every day, doing weights and things, and then I've also being doing some stuff in the hydro-pool at the hospital."
The Tigers star is now looking to step his training up a gear and is eyeing a return as soon as February next year in time for the Six Nations tournament.
"I see the specialist again in a few weeks, so hopefully I can progress from there, and if things go well maybe he can give me the go-ahead to take it further and up my training.
"I'm probably ahead of schedule. When I originally did it the worst case scenario was that the season might be a write-off, but thankfully the recovery is going really well, so I'm setting myself the goal of coming back in around February or March, obviously depending on how things go."
Ireland will open the 2004 Six Nations against France on 14 February at Stade de France in Paris.