| 2. Round | 19/08/1978 | Bayern München | - | MSV Duisburg | 6:2 | ||||
| 3. Round | 26/08/1978 | MSV Duisburg | - | Bor. Mönchengladbach | 0:3 | ||||
| 4. Round | 02/09/1978 | Werder Bremen | - | MSV Duisburg | 3:2 | ||||
| 5. Round | 08/09/1978 | MSV Duisburg | - | VfL Bochum | 1:0 | ||||
| 12. Round | 04/11/1978 | Fortuna Düsseldorf | - | MSV Duisburg | 3:0 | ||||
| 13. Round | 10/11/1978 | MSV Duisburg | - | Hamburger SV | 0:2 | ||||
| 14. Round | 18/11/1978 | Borussia Dortmund | - | MSV Duisburg | 4:1 | ||||
| 16. Round | 09/12/1978 | MSV Duisburg | - | FC Schalke 04 | 2:1 |  |
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| 17. Round | 16/12/1978 | Eintracht Frankfurt | - | MSV Duisburg | 1:0 | ||||
| 22. Round | 10/03/1979 | VfL Bochum | - | MSV Duisburg | 0:0 | ||||
| 23. Round | 16/03/1979 | MSV Duisburg | - | VfB Stuttgart | 3:1 | ||||
| 25. Round | 04/04/1979 | MSV Duisburg | - | 1. FC Köln | 2:1 |
Germany