James Hunte put them in front after only two minutes , and they held the advantage until just before half-time when Corinthian levelled.
Jordan Broome restored the lead six minutes after the break, and Freddie Barrett got the third with two minutes left to wrap up the points.
The Sevenoaks' youngsters meet Crowborough Athletic in the First Qualifying Round of the FA Youth Cup next week. The Sussex side won 7-1 at Kingstonian in the previous round.
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