Holders Celtic continue their defence of the Premier Sports Cup away to Partick Thistle on Sunday, September 21.
Brendan Rodgers' side overcame Falkirk in the last 16 to set up a Glasgow derby at Firhill for a place in the semis.
SPFL chiefs delayed confirming the quarter-final fixtures until Celtic and Rangers' European fate had been confirmed - with both clubs being consigned to Europa League football after miserable Champions League exits.
And now it's been revealed that the Hoops will make the short journey to the Jags on the Sunday for a 3.30pm kick-off time, shown live on Premier Sports.
Last year's runners-up Rangers were handed the tastiest draw of the round at home to Hibs and that blockbuster showdown has been pencilled in for Saturday, September 20 at 5.45