The Premier League 2 Division 1 leaders eased past Southampton 4-0 in the last 16, while Wolves needed a penalty shoot-out to beat Exeter City on Wednesday.
Ties are scheduled for 6-9 April.
All matches will be one-off and decided by extra-time and penalties if the scores are level after 90 minutes.
Sheffield United v Newcastle United
Leicester City v Wolverhampton Wanderers
Swansea City v Brighton
Middlesbrough v Aston Villa