The Spaniard suffered a torn cruciate knee ligament in March, which had been expected to keep him on the sidelines for at least 12 months.
However, Gins Carvajal has said that Jese is ahead of schedule in term of his rehabilitation.
"Jese had a check-up in Germany on Tuesday and the doctor was amazed at the recovery progress," Carvajal told Marca.
"He's very happy with the rehabilitation work Jese has been doing over the last few months.
"We can't rush it. He will be back when his knee allows it. It doesn't matter if it's October or November, it will be when there's no risk of taking a step backwards."
Jese made the breakthrough into the Los Blancos first team last season.