The left-sided wing-back has been restricted to just seven minutes of first-team football. He had surgery on his left hamstring this summer before suffering an injury to the right hamstring in January.
Sessegnon posted on social media: "I've been down this road before. I'll pick myself up, stay head strong and begin my recovery in the best way possible.
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"Having been through an operation and the recovery on my other hamstring last year, and knowing how strong that hamstring is now, I know this is the best solution to put an end to the reoccurring issues."
He added: "Speaking on behalf of anyone who's been in this situation, please be careful what you say online. Words hurt and no-one chooses to be in this position."