The young striker was in outstanding form for Real last season before being struck down with a knee injury.
The player's agent, Ginés Carvajal, confirmed to Radio MARCA: "Jesé had a check-up in Germany on Tuesday and the doctor was surprised by the progression of his recovery.
"He's very happy with the recovery work Jesé has done over the last few months.
"We can't shorten the time. He will return when his knee is right. It doesn't matter if it is October or November. The time will be when there is no risk of a relapse."
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