De Bruyne, who suffered the strain in victory over Inter Milan last week, is expected to be missing from Napoli for five months.
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Taking to social media, De Bruyne posted: "Hi everyone, as you know I'll be out for a while. The good news is that the surgery went perfectly.
"My journey back has already begun! Thanks for all the messages!"
De Bruyne has hopes of playing again this season to not only boost Napoli's title hopes, but his own plans of making Belgium's World Cup squad.