| 1er tour | 26.09.1979 | Progrès Niedercorn | - | Grasshopper Club Zürich | 0:2 | ||||
| 1er tour | 03.10.1979 | Grasshopper Club Zürich | - | Progrès Niedercorn | 4:0 |  |
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| 2e tour | 24.10.1979 | Grasshopper Club Zürich | - | Ipswich Town | 0:0 | ||||
| 2e tour | 07.11.1979 | Ipswich Town | - | Grasshopper Club Zürich | 1:1 | ||||
| tour des 16 | 28.11.1979 | Grasshopper Club Zürich | - | VfB Stuttgart | 0:2 | ||||
| tour des 16 | 12.12.1979 | VfB Stuttgart | - | Grasshopper Club Zürich | 3:0 |
Suisse