| 21. Round | 09/03/1979 | Rapid Wien | - | First Vienna FC | 0:0 | ||||
| 33. Round | 01/06/1979 | Wr. Sportclub/Post | - | First Vienna FC | 3:2 |  |
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| 34. Round | 08/06/1979 | First Vienna FC | - | Sturm Graz | 0:0 | ||||
| 35. Round | 15/06/1979 | Austria Wien | - | First Vienna FC | 1:2 | ||||
| 36. Round | 22/06/1979 | First Vienna FC | - | SV Austria Salzburg | 0:2 |
Austria