1. Round | 05/08/2023 | Greenock Morton FC | - | Ayr United | 3:1 | ||||
2. Round | 12/08/2023 | Raith Rovers | - | Greenock Morton FC | 3:2 | ||||
3. Round | 26/08/2023 | Greenock Morton FC | - | Arbroath FC | 0:3 | ||||
4. Round | 02/09/2023 | Greenock Morton FC | - | Partick Thistle | 1:4 | ||||
5. Round | 16/09/2023 | Dundee United | - | Greenock Morton FC | 1:1 | ||||
6. Round | 23/09/2023 | Dunfermline Athletic | - | Greenock Morton FC | 3:1 | ||||
7. Round | 30/09/2023 | Greenock Morton FC | - | Airdrieonians FC | 0:1 | ||||
8. Round | 07/10/2023 | Queen's Park FC | - | Greenock Morton FC | 0:0 | ||||
10. Round | 28/10/2023 | Ayr United | - | Greenock Morton FC | 0:1 | ||||
11. Round | 31/10/2023 | Greenock Morton FC | - | Raith Rovers | 1:2 | ||||
12. Round | 03/11/2023 | Greenock Morton FC | - | Dunfermline Athletic | 1:2 | ||||
13. Round | 11/11/2023 | Partick Thistle | - | Greenock Morton FC | 2:1 | ||||
26. Round | 27/02/2024 | Raith Rovers | - | Greenock Morton FC | 0:0 | ||||
27. Round | 02/03/2024 | Greenock Morton FC | - | Inverness CT | 0:2 |