9. Round | 09/11/1958 | Austria Wien | - | Admira Wien | 5:3 | ||||
10. Round | 23/11/1958 | Admira Wien | - | ÖMV Olympia | 4:2 | ||||
11. Round | 30/11/1958 | Kapfenberger SV | - | Admira Wien | 1:0 | ||||
12. Round | 07/12/1958 | Admira Wien | - | First Vienna FC | 4:1 | ||||
13. Round | 14/12/1958 | Wiener AC | - | Admira Wien | 2:0 | ||||
14. Round | 01/03/1959 | WSV Donawitz | - | Admira Wien | 2:3 | ||||
15. Round | 11/03/1959 | Wiener Sport-Club | - | Admira Wien | 6:2 | ||||
16. Round | 15/03/1959 | Admira Wien | - | Kremser SC | 2:5 | ||||
18. Round | 05/04/1959 | Admira Wien | - | Rapid Wien | 0:3 | ||||
20. Round | 18/04/1959 | Admira Wien | - | Linzer ASK | 1:4 | ||||
21. Round | 26/04/1959 | 1. Simmeringer SC | - | Admira Wien | 1:1 | ||||
22. Round | 03/05/1959 | Admira Wien | - | Austria Wien | 3:3 | ||||
23. Round | 09/05/1959 | ÖMV Olympia | - | Admira Wien | 0:4 | ||||
24. Round | 31/05/1959 | Admira Wien | - | Kapfenberger SV | 2:1 | ||||
25. Round | 06/06/1959 | First Vienna FC | - | Admira Wien | 4:1 |