| 1. Round | 03/09/1978 | RC Celta | - | Espanyol Barcelona | 0:1 | ||||
| 2. Round | 10/09/1978 | Real Zaragoza | - | RC Celta | 2:1 | ||||
| 4. Round | 24/09/1978 | Rayo Vallecano | - | RC Celta | 2:0 | ||||
| 8. Round | 29/10/1978 | UD Salamanca | - | RC Celta | 1:0 | ||||
| 10. Round | 18/11/1978 | FC Barcelona | - | RC Celta | 6:0 | ||||
| 13. Round | 16/12/1978 | RC Celta | - | Burgos CF | 3:2 | ||||
| 23. Round | 10/03/1979 | RC Celta | - | Racing Santander | 2:0 | ||||
| 25. Round | 25/03/1979 | RC Celta | - | UD Salamanca | 1:1 | ||||
| 29. Round | 29/04/1979 | RC Celta | - | Athletic Club | 0:0 |
Spain