The 31-year-old, who retired from international football after Germany's World Cup win in July last year, underwent surgery in November after breaking his ankle in training.
He had started individual training sessions some time ago.
Bayern have largely been unaffected by his absence, leading the Bundesliga title race by an 11-point margin over second-placed VfL Wolfsburg.
They host Shakhtar Donetsk in their Champions League last-16 return on Wednesday, having drawn 0-0 in the first leg.
(Reporting by Karolos Grohmann; Editing by Ken Ferris)
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