Dundee will host neighbours Dundee United after the Scottish Cup quarter-final draw produced a city derby.
And 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, were first out of the pot.
while and beat Morton and Rangers, respectively.
and tournament favourites
Scottish Cup sixth round draw
Hamilton v Falkirk
Dundee v Dundee Utd
Kilmarnock v Hibernian
St Mirren v Celtic