The 23-year-old picked up a hamstring injury in City's 2-0 win over Leicester on November 18, but says he hopes to return for the busy festive period.
"It's been a long time since I've been out injured - the rehab is going well and hopefully I'll be back soon," Stones told 'Sky Sports'.
"I'd like to be back out there for Christmas but let's see where it goes. I think it might be just after."
The centre-back also took a minute to praise City manager Pep Guardiola.
"It's been a joy to play in - Pep is very demanding," he added.
"Everyday Pep wants to improve you as a player - I feel like I've done that off the pitch as well being in the surroundings that his staff have created. That's a quality in itself to be able to bring that out of his players.
"You've seen that with me, Leroy Sane, Raheem Sterling - the performances they're putting in, plus their work-rate, it's great to be around and have him as my coach."