It had been rumoured that the club were ready to off-load Kamara, a £6m signing last summer.
Goalkeeper Antti Niemi has also undergone surgery for a wrist injury and is expected to be back in training within three weeks.
Meanwhile, Fulham have announced the appointment of Alistair Mackintosh as chief executive officer. The 38-year-old previously held the same role with Manchester City until leaving last month.
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