Dons, managed by Jimmy Calderwood, finished fifth in the table last season after a late surge by the Reds. They currently sit 7th in the SPL after two matches, draws against both Hibernian and Inverness Caledonian Thistle.
Spiders made it into the Second Round with a shock 2-1 victory over First Division Hamilton Accies at Hampden Park on Tuesday night. The tie will be played on either Tuesday 22nd August or Wednesday 23rd August.
Full draw as follows :-
Hibernian -vs- Peterhead
Cowdenbeath -vs- Falkirk
Motherwell -vs- Partick Thistle
Ayr United -vs- Dunfermline
Dundee Utd -vs- Airdrie Utd
Alloa Athletic -vs- Ross County
Inverness CT -vs- Dumbarton
Brechin City -vs- Livingston
St Johnstone -vs- Elgin City
Queen Of South -vs- Kilmarnock
St Mirren -vs- Stenhousemuir
QUEEN'S PARK -vs- ABERDEEN