Neil Lennon’s side beat Dundee United 4-0 to reach the semi finals of the competition and keep their hopes of a domestic treble alive.
Hearts and St.Mirren played out a 2-2 draw at Tynecastle on Saturday and will play again on March 21st to see who will face Celtic in the semis.
After securing a 2-1 win over Motherwell at Fir Park on Sunday, Aberdeen have been drawn against Hibernian who beat Ayr United 2-0 at Somerset Park on Saturday.
Aberdeen v Hibernian
Celtic v Hearts or St Mirren
Ties to be played at Hampden on April 14 and 15.