The draw will be broadcast live on Premier Sports following their coverage of Motherwell v Partick Thistle, kick-off 3.00pm.
The eight seeded clubs will be European representatives Celtic, Rangers, Heart of Midlothian, Kilmarnock and St Mirren, plus the three group winners with the best records.
Second-round ties are scheduled for the weekend of August 17/18 and are subject to TV selections.
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