Irish Cup holders Glentoran will play Ards or Armagh City on 8 February as the leading contenders avoided each other in the sixth round draw.
Linfield host H&W Welders or Ballymena, Crusaders are home to Ballymoney United while Dungannon Swifts will travel to Cliftonville or Coleraine.
Glenavon are away to Ballinamallard or Strabane, Warrenpoint entertain Bangor and Carrick Rangers visit Ballyclare.
Queen's University will make the trip to Lisburn Distillery or PSNI.
Irish Cup sixth round (to be played on 8 February)
Ballyclare Comrades v Carrick Rangers
Crusaders v Ballymoney Utd
Lisburn Distillery/PSNI v Queen's University
Ballinamallard Utd/Strabane Athletic v Glenavon
Linfield v H&W Welders/Ballymena Utd
Warrenpoint Town v Bangor
Ards/Armagh City v Glentoran
Cliftonville/Coleraine v Dungannon Swifts