| Morton FC v Hibernian FC 18/11/1978 | View match | |
| Hibernian FC v Celtic (Glasgow) FC 18/11/1978 | View match | |
| Hibernian FC v Motherwell FC 25/11/1978 | View match | |
| Aberdeen FC v Hibernian FC 25/11/1978 | View match | |
| Hibernian FC v Motherwell FC 09/12/1978 | View match | |
| St Mirren FC v Hibernian FC 09/12/1978 | View match | |
| Aberdeen FC v Hibernian FC 13/12/1978 | View match | |
| Hibernian FC v Partick Thistle FC 16/12/1978 | View match | |
| Rangers (Glasgow) FC v Hibernian FC 16/12/1978 | View match | |
| Dundee United FC v Hibernian FC 23/12/1978 | View match | |
| Hibernian FC v Aberdeen FC 23/12/1978 | View match | |
| Hibernian FC v Aberdeen FC 20/01/1979 | View match |