The 29-year-old underwent an operation on Wednesday for an ankle problem that he has suffered with previously, and reports suggested that he faced an extended spell on the sidelines.
However, the club moved to deny those rumours and president Uli Hoeness stated on Wednesday that the operation had been successful.
"Bastian has just texted Karl-Heinz Rummenigge. His operation has gone very well," Hoeness said at Bayern's annual general meeting.
"We're very optimistic that his injury lay-off won't be as long as we initially feared. It's looking a lot better than we originally thought."
Schweinsteiger's last appearance for Bayern came in the UEFA Champions League win over Viktoria Plzen on November 5.
‘Even though Kevin Keegan was my boyhood hero, we never really saw eye-to-eye. That was an underwhelming time for me – I felt on the outside’: Newcastle cult hero reveals disappointment over how things went under King Kev
Alexander Isak puts uncertainty over his Newcastle United future to bed amid fresh PSG and Arsenal links
