Scottish Cup holders Celtic face a trip to either Kilmarnock or Airdrie United in the fifth round of the competition. With seven fourth-round ties postponed and four matches drawn, the list leaves open a number of possibilities.
Hibernian have the prospect of a home tie with Rangers, while St Mirren will take on Clyde or Dundee United.
Falkirk or Aberdeen will host Hamilton or Brechin and Hearts or Motherwell will be at home against Highland League side Huntly or Dundee.
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Queen of the South are rewarded for a home win over Linlithgow Rose with a visit to either Morton or Gretna.
Ties to be played on weekend of 2-3 February.
Scottish Cup fifth-round draw:
Morton or Gretna v Queen of the South
Falkirk or Aberdeen v Hamilton or Brechin
Airdrie Utd or Kilmarnock v Celtic
Hearts or Motherwell v Huntly or Dundee
Livingston or Cowdenbeath v Partick or Dunfermline
Hibernian v Rangers or East Stirlingshire
Cove Rangers or Ross County v St Johnstone or Raith Rovers
St Mirren v Clyde or Dundee United
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