The young Magpies entertain Swansea City at St. James' Park on Monday, 9th January with a 7pm kick-off under the floodlights.
Dave Watson's side beat Portsmouth 4-1 at Fratton Park in the last round, with Owen Gallacher - son of former Newcastle player John - opening the scoring.
Lewis McNall and curly-haired wideman Callum Smith were also on target alongside an own goal from Pompey's Theo Widdrington.
Swansea, meanwhile, beat Wolverhampton Wanderers 2-1 in the third round to set up the trip to Tyneside.
Newcastle last lifted the trophy in 1985, inspired by a certain Paul Gascoigne, and reached the quarter-finals in 2014 and 2015, losing to eventual winners Chelsea on both occasions. On the second occasion, more than 11,000 fans watched the game at St. James' Park.