| 22. Round | 27/01/2024 | Queen's Park FC | - | Ayr United | 1:2 | ||||
| 23. Round | 03/02/2024 | Inverness CT | - | Queen's Park FC | 0:1 | ||||
| 14. Round | 10/02/2024 | Dunfermline Athletic | - | Queen's Park FC | 0:3 |  |
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| 24. Round | 17/02/2024 | Queen's Park FC | - | Greenock Morton FC | 0:0 | ||||
| 26. Round | 27/02/2024 | Queen's Park FC | - | Arbroath FC | 6:0 | ||||
| 27. Round | 02/03/2024 | Airdrieonians FC | - | Queen's Park FC | 1:1 | ||||
| 30. Round | 23/03/2024 | Ayr United | - | Queen's Park FC | 1:2 | ||||
| 32. Round | 06/04/2024 | Queen's Park FC | - | Dundee United | 0:5 | ||||
| 33. Round | 13/04/2024 | Queen's Park FC | - | Inverness CT | 0:1 |
Scotland