| 3. Round | 26/08/2023 | Ross County FC | - | Rangers FC | 0:2 | ||||
| 4. Round | 02/09/2023 | Kilmarnock FC | - | Ross County FC | 0:1 |  |
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| 5. Round | 16/09/2023 | Ross County FC | - | Livingston FC | 1:1 | ||||
| 6. Round | 24/09/2023 | Aberdeen FC | - | Ross County FC | 4:0 | ||||
| 24. Round | 03/02/2024 | Ross County FC | - | St. Johnstone FC | 0:1 | ||||
| 25. Round | 06/02/2024 | Motherwell FC | - | Ross County FC | 5:0 | ||||
| 20. Round | 14/02/2024 | Rangers FC | - | Ross County FC | 3:1 | |
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| 26. Round | 17/02/2024 | Dundee FC | - | Ross County FC | 2:0 | ||||
| 27. Round | 24/02/2024 | Ross County FC | - | Livingston FC | 3:2 | ||||
| 28. Round | 27/02/2024 | Ross County FC | - | St. Mirren FC | 1:1 | ||||
| 29. Round | 02/03/2024 | Hibernian FC | - | Ross County FC | 2:0 | ||||
| 19. Round | 13/03/2024 | Ross County FC | - | Hibernian FC | 2:2 | ||||
| 30. Round | 16/03/2024 | Ross County FC | - | Heart of Midlothian | 2:1 | ||||
| 31. Round | 30/03/2024 | Aberdeen FC | - | Ross County FC | 2:1 | |
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| 32. Round | 06/04/2024 | Kilmarnock FC | - | Ross County FC | 1:0 |
Scotland