Hamilton Academical will host Morton in the only all-First Division tie in the quarter-finals of the Ramsdens Cup.
Surviving Third Division sides Berwick Rangers and Annan Athletic both take on Division One opposition.
Berwick host Livingston, while Annan are away to Ayr United in the ties scheduled for Sunday 4 September.
Second Division side East Fife will be hoping for an upset when they host Falkirk in the competition for teams outside the Scottish Premier League.
Ramsdens Cup, quarter-final draw
Ayr United v Annan Athletic
Berwick Rangers v Livingston
East Fife v Falkirk
Hamilton Academical v Morton
Ties to be played, Sunday 4 September 2011