Dundee will host neighbours Dundee United after the Scottish Cup quarter-final draw produced a city derby.
Celtic manager Neil Lennon's wish was granted as his side travel to St Mirren,
who won the recent Scottish League Cup meeting of the clubs.
A First Division side is guaranteed to make the semi-final after Hamilton and Falkirk were paired together.
The other tie is an all-Scottish Premier League affair with Kilmarnock hosting last season's runners-up Hibs.
With all eight fifth-round ties decided across the weekend,
Hamilton, conquerors against Dunfermline,
were first out of the pot.
Falkirk overcame Forfar Athletic
beat Morton and Rangers, respectively.
Killie were winners against Inverness
Hibs narrowly defeated Aberdeen.
St Mirren eased past St Johnstone
and tournament favourites
Celtic disposed of Raith Rovers.
Scottish Cup sixth round draw
Hamilton v Falkirk
Dundee v Dundee Utd
Kilmarnock v Hibernian
St Mirren v Celtic