It will be broadcast live on Premier Sports following their coverage of Celtic v Raith Rovers, kick-off 7.45pm.
Semi-final ties are due to be played on the weekend of November 20/21, with the final scheduled for Sunday December 19.
All four of this week’s quarter-finals are exclusively live on Premier Sports as detailed below:
Wednesday September 22
Dundee v St Johnstone - Premier Sports 2, ko 7.45pm
Rangers v Livingston - Premier Sports 1, ko 7.45pm
Thursday September 23
Celtic v Raith Rovers - Premier Sports 1, ko 7.45pm
Dundee United v Hibernian - Premier Sports 2, ko 7.45pm