The Germany international underwent ankle surgery last month and has not featured for Bayern since the Champions League win over Viktoria Plzen on Nov. 5.
However, the influential midfielder is on his way back and could make his comeback in the Bundesliga game against Borussia Monchengladbach after the winter break.
"Bastian is to all intents and purposes already in mid-season training. He’s already training at a very high level with runs and sprints," Rummenigge told the official Bayern website. "And we’re assuming he’ll be able to play a full part in squad training when the team travels to Qatar on 5 January. He should be completely fit in time for the restart."
Meanwhile, Arjen Robben is still some way apart from resuming squad training after picking up a knee injury against Augsburg earlier this month.
"As it stands I think Arjen might be able to come with us to Qatar but would have to pursue an individual program. A more exact prognosis is impossible at the moment because the wound was stitched three times in layers. I don’t know how quickly it will heal. But he can at least walk on it again."
Bayern is currently preparing for Saturday's Club World Cup final against Raja Casablanca.