| 7. Round | 16/09/1978 | Grasshopper Club Zürich | - | CS Chênois | 1:0 | ||||
| 8. Round | 23/09/1978 | Neuchâtel Xamax FC | - | Grasshopper Club Zürich | 0:0 | ||||
| 9. Round | 30/09/1978 | FC Basel 1893 | - | Grasshopper Club Zürich | 3:2 | ||||
| 10. Round | 14/10/1978 | Grasshopper Club Zürich | - | FC St. Gallen | 2:3 | ||||
| 17. Round | 03/03/1979 | CS Chênois | - | Grasshopper Club Zürich | 0:0 | ||||
| 18. Round | 13/03/1979 | Grasshopper Club Zürich | - | Neuchâtel Xamax FC | 2:2 | ||||
| 19. Round | 17/03/1979 | Grasshopper Club Zürich | - | FC Basel 1893 | 2:1 | ||||
| 20. Round | 31/03/1979 | FC St. Gallen | - | Grasshopper Club Zürich | 1:3 | ||||
| 21. Round | 04/04/1979 | Servette FC | - | Grasshopper Club Zürich | 0:0 | ||||
| 22. Round | 07/04/1979 | Grasshopper Club Zürich | - | FC Chiasso | 4:0 |
Switzerland