The 17-year-old starlet, who is in the Wales squad ahead of their Nations League clash with Poland on Saturday, has riveted Todd Boehly's gaze after scoring a hat-trick against Chelsea at youth level earlier this season.
Poised to follow in the footsteps of former Fulham youngsters Fabio Carvalho and Harvey Elliott, who have since moved on to impress Jurgen Klopp at Liverpool, Harris is regarded as a future superstar at Craven Cottage.
Chelsea have already staged advanced talks with their west London neighbours in a bid to lure Harris to Stamford Bridge in January.
Harris signed his first professional contract with Fulham earlier this month and is therefore under contract until 2025.
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