Jambos' cup trip to Parkhead will be screened live by BBC Scotland.
Hearts' Scottish League Cup clash with Celtic next month is to be screened live by BBC Scotland.
The third-round showdown at Parkhead will go ahead on Wednesday, September 24, with a 7.15pm kick-off.
Robbie Neilson's side set up the eagerly-anticipated meeting with a 2-1 victory over Stenhousemuir at Ochilview earlier this week.
Tickets will go on sale at a date to be announced to those with 80 or more loyalty points (subject to availibility), prices are as follows:
• Adults - £15
• Concessions (U16/O65) - £10
• Under 13s - £5
Two loyalty points will be awarded for this fixture.