Travis Binnion's side came from behind at Old Trafford last Thursday to defeat Leicester City 2-1 thanks to a pair of goals from Spanish winger Alejandro Garnacho.
The Foxes had taken a 29th-minute lead through Chris Popov before Garnacho levelled with a free-kick curler and then found the winner with only a minute to go.
That sets up an exciting semi-final against Wolves, who played their quarter-final on Saturday morning at Molineux. Brighton & Hove Albion were the opponents, and the Midlands club defeated the south-coast side 3-1 thanks to goals from Oliver Tipton, Nathan Fraser, and Harvey Griffiths.