The seeded draw took place at the Toryglen complex on Monday lunchtime.
We beat Hibs to win the trophy for the only time in 1950! And we last played them in the League Cup in 2007 when we won 4-2 at Easter Road (Report here).
Season tickets should be valid for this game as it will be the first home cup tie of the season.
Last season's campaign finished at Hampden with a semi final deafet at the hands of Rangers. Can we go a step further this time?
The highest finishing eight teams in last season's SPL table were separated from the rest and the resulting ballot produced the following.
Motherwell v Hibs
Falkirk v Rangers
Ross County v Celtic
Ayr v Hearts
Airdrie v Dundee United
Kilmarnock v Queen of the South
Aberdeen v East Fife
St Johnstone v St Mirren