Defenders Phil Jones and Fabio completed the scoring late on for the four-time winners.
Elsewhere, Stoke required a penalty shoot-out to see off 10-man Birmingham following a 4-4 draw.
The Potters led 3-1 with five minutes of normal time left to play, but a Peter Lovenkrands double sent the game into extra time. Kenwyne Jones put Stoke back in front, before a late equaliser from Ollie Lee.
But penalty misses from Callum Reilly and Mitch Hancox sent Stoke through to the quarter-finals.