The 27-year-old is required to wear a split for the time being, but is expected to be fit for the start of pre-season training on 1 July.
Accolades for Lewandowski and Neuer
In other news, Bayern's Robert Lewandowski has been named Players' Outfield Player of the Season, in a poll conducted by Germany's leading sports specialist magazine, kicker.
The Poland international scored 30 Bundesliga goals in 2016/17, one less than Borussia Dortmund forward Pierre-Emerick Aubameyang, who came in third in the ballot behind RB Leipzig midfielder Naby Keita.
Watch: All 30 of Lewandowski's 2016/17 Bundesliga goals
Bayern goalkeeper Manuel Neuer, who is still recovering from foot surgery, was voted Goalkeeper of the Season for the fourth successive year.
Votes were cast by a total of 248 Bundesliga professionals.