The 16 year-old winger scored in Liverpool's first of two victorious friendlies against Athletic Bilbao.
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Ngumoha has caught the eye this preseason and Gillespie admits the hype around the teen could become a problem.
He said on LFC-TV: "He is such an excellent prospect.
"The difficult is managing expectations but it's hard to put a lid on it."
Reds manager Arne Slot also said on Monday night after the double-header: "Rio is showing things every time in pre-season."