| 11. Round | 17/10/2020 | Ross County FC | - | Hibernian FC | 0:0 | ||||
| 12. Round | 24/10/2020 | Motherwell FC | - | Ross County FC | 4:0 | ||||
| 13. Round | 31/10/2020 | Dundee United | - | Ross County FC | 2:1 | ||||
| 14. Round | 06/11/2020 | Ross County FC | - | Livingston FC | 1:1 | ||||
| 15. Round | 21/11/2020 | Kilmarnock FC | - | Ross County FC | 3:1 | ||||
| 22. Round | 02/01/2021 | Ross County FC | - | St. Johnstone FC | 1:1 | ||||
| 23. Round | 10/01/2021 | Livingston FC | - | Ross County FC | 3:1 |  |
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| 24. Round | 16/01/2021 | Ross County FC | - | Aberdeen FC | 4:1 | |
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| 25. Round | 23/01/2021 | Rangers FC | - | Ross County FC | 5:0 | ||||
| 27. Round | 03/02/2021 | Hamilton Academical | - | Ross County FC | 1:2 | ||||
| 28. Round | 06/02/2021 | Ross County FC | - | Dundee United | 0:2 | ||||
| 33. Round | 21/02/2021 | Ross County FC | - | Celtic FC | 1:0 | ||||
| 30. Round | 27/02/2021 | St. Mirren FC | - | Ross County FC | 1:0 | ||||
| 31. Round | 06/03/2021 | Ross County FC | - | Kilmarnock FC | 3:2 |  |
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| 29. Round | 13/03/2021 | Ross County FC | - | Hibernian FC | 1:2 | ||||
| 32. Round | 20/03/2021 | St. Johnstone FC | - | Ross County FC | 1:0 |
England