The action gets under way at Hampden on Friday night when in-form Queen's Park face Welsh Premier League leaders Connah's Quay Nomads, live on BBC ALBA with a 7.45pm kick-off.
There are two more ties on Saturday - Ladbrokes League 2 leaders Edinburgh City host Championship side Alloa Athletic while Motherwell Colts meet Ross County at Fir Park.
The postponed match between Bohemians and East Fife in Dublin is likely to be played early in 2019, with the semi-finals scheduled for February 16/17 and the final on March 23/24.
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