| 1. Round | 02/09/1978 | Sporting Gijón | - | Atlético Madrid | 4:1 | ||||
| 2. Round | 09/09/1978 | Espanyol Barcelona | - | Sporting Gijón | 1:0 | ||||
| 3. Round | 17/09/1978 | Sporting Gijón | - | Real Zaragoza | 1:0 | ||||
| 4. Round | 24/09/1978 | Real Sociedad | - | Sporting Gijón | 2:0 | ||||
| 5. Round | 08/10/1978 | Sporting Gijón | - | Rayo Vallecano | 3:0 | ||||
| 6. Round | 15/10/1978 | Sevilla FC | - | Sporting Gijón | 1:1 | ||||
| 7. Round | 22/10/1978 | Sporting Gijón | - | Racing Santander | 1:0 | ||||
| 8. Round | 28/10/1978 | Valencia CF | - | Sporting Gijón | 4:0 | ||||
| 9. Round | 04/11/1978 | Sporting Gijón | - | UD Salamanca | 1:0 | ||||
| 10. Round | 18/11/1978 | Real Madrid | - | Sporting Gijón | 3:2 | ||||
| 12. Round | 01/12/1978 | UD Las Palmas | - | Sporting Gijón | 0:0 | ||||
| 13. Round | 16/12/1978 | Sporting Gijón | - | Athletic Club | 4:3 | ||||
| 17. Round | 20/01/1979 | Sporting Gijón | - | Hércules CF | 2:0 | ||||
| 25. Round | 25/03/1979 | Sporting Gijón | - | Valencia CF | 2:0 | ||||
| 28. Round | 21/04/1979 | FC Barcelona | - | Sporting Gijón | 6:0 |
Spain