| 2. Round | 09/08/2020 | Rangers FC | - | St. Mirren FC | 3:0 | ||||
| 3. Round | 12/08/2020 | Rangers FC | - | St. Johnstone FC | 3:0 | ||||
| 4. Round | 16/08/2020 | Livingston FC | - | Rangers FC | 0:0 | ||||
| 5. Round | 22/08/2020 | Rangers FC | - | Kilmarnock FC | 2:0 | ||||
| 6. Round | 29/08/2020 | Hamilton Academical | - | Rangers FC | 0:2 | ||||
| 7. Round | 12/09/2020 | Rangers FC | - | Dundee United | 4:0 | ||||
| 8. Round | 20/09/2020 | Hibernian FC | - | Rangers FC | 2:2 | ||||
| 10. Round | 04/10/2020 | Rangers FC | - | Ross County FC | 2:0 | ||||
| 14. Round | 08/11/2020 | Rangers FC | - | Hamilton Academical | 8:0 |
Scotland