The last time the sides met in the competition was in April 2011, when the Hoops triumphed with a 4-0 semi-final victory.
Neil Lennon's side has come out on top in both league meetings this season, while Aberdeen have booked their place in the last four of the League Cup.
One statistic in Aberdeen's favour is that it is over 60 years since Celtic defeated the Dons at Celtic Park.