Newcastle's youngsters defeated Huddersfield Town in the third round after a penalty shoot-out following a 1-1 draw at the John Smith's Stadium in December and have been handed a home tie against Leeds, who progressed into round four following an 8-2 thrashing of MK Dons.
The tie will take place at Whitley Park on Saturday, 3rd April, with kick-off at 3pm (BST).
The young Magpies will be aiming to lift the famous trophy for a third time in the club's history after tasting success in 1962 before a side including Geordie midfielder Paul Gascoigne, lifted the cup in 1985.
Newcastle reached the quarter-finals in 2016/17 before their impressive run was ended by Tottenham Hotspur in a 5-3 defeat at St. James' Park.