Billy Stark will take his side to Glebe Park in the 1st Round where victory would set up a Hampden home clash against either Preston Athletic or Stenhousemuir.
The Angus side are adjusting well to life in the Second Division after last season's relegation from the First, picking up 14 points from 10 games and sitting comfortably in 5th place, joint with 4th placed Cowdenbeath
Full draw as follows:
1st Round
Brechin City -vs- Queen's Park
Arbroath v Albion Rovers
Edinburgh University v Keith
Deveronvale v Montrose
East Stirlingshire v Stirling Albion
Preston Athletic v Stenhousemuir
East Fife v Berwick Rangers
Stranraer v Alloa Athletic
2nd Round
Elgin City v Buckie Thistle
Annan Athletic v Greenock Morton
Peterhead v Ayr United
Edinburgh City v East Stirling / Stilrilng Albion
Raith Rovers v Dumbarton
Devereonvale or Montrose v Fraserburgh
Stranraer or Alloa v Forfar Athletic
Cowdenbeath v Edinburgh University or Keith
East Fife or Berwick v Arbroath or Albion Rovers
Brechin City or Queen's Park v Preston Athletic or Stenhousemuir