| 5. Round | 14/10/1979 | Burgos CF | - | Athletic Club | 1:1 | ||||
| 6. Round | 21/10/1979 | Athletic Club | - | CD Málaga | 3:1 | ||||
| 7. Round | 28/10/1979 | Sevilla FC | - | Athletic Club | 3:1 | ||||
| 8. Round | 03/11/1979 | Athletic Club | - | Atlético Madrid | 2:1 | ||||
| 9. Round | 09/11/1979 | UD Las Palmas | - | Athletic Club | 1:1 | ||||
| 10. Round | 17/11/1979 | Athletic Club | - | Espanyol Barcelona | 2:0 | ||||
| 11. Round | 24/11/1979 | Athletic Club | - | Valencia CF | 4:0 |  |
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| 12. Round | 01/12/1979 | Rayo Vallecano | - | Athletic Club | 2:1 | ||||
| 13. Round | 15/12/1979 | Athletic Club | - | FC Barcelona | 2:1 | ||||
| 15. Round | 05/01/1980 | Athletic Club | - | Real Zaragoza | 3:1 |
Spain