21. Round | 12/01/2019 | Alloa Athletic | - | Greenock Morton FC | 2:1 | ||||
22. Round | 26/01/2019 | Greenock Morton FC | - | Dunfermline Athletic | 0:0 | ||||
23. Round | 02/02/2019 | Dundee United | - | Greenock Morton FC | 2:1 | ||||
24. Round | 16/02/2019 | Greenock Morton FC | - | Ayr United | 0:0 | ||||
25. Round | 23/02/2019 | Inverness CT | - | Greenock Morton FC | 1:0 | ||||
31. Round | 30/03/2019 | Greenock Morton FC | - | Partick Thistle | 0:3 | ||||
36. Round | 04/05/2019 | Greenock Morton FC | - | Dundee United | 1:0 |