The centre-back picked up the injury in Germany’s 1-0 win over England on Tuesday.
The injury will see the 24-year-old miss this weekend’s Bundesliga clash with rivals Bayern Munich as well as the Champions League clashes with Napoli and Marseille.
Hummels face a spell on the sidelines until halfway through January.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.