| Rangers (Glasgow) FC v Dundee 17/12/1983 | View match | |
| Dundee v St Johnstone FC 27/12/1983 | View match | |
| Aberdeen FC v Dundee 31/12/1983 | View match | |
| Dundee v Heart Of Midlothian (Hearts) 07/01/1984 | View match | |
| Cowdenbeath FC v Dundee 08/02/1984 | View match | |
| St Mirren FC v Dundee 11/02/1984 | View match | |
| Dundee v Airdrieonians (Old) 19/02/1984 | View match | |
| Dundee v Rangers (Glasgow) FC 25/02/1984 | View match | |
| Hibernian FC v Dundee 29/02/1984 | View match | |
| St Johnstone FC v Dundee 03/03/1984 | View match | |
| Dundee v Rangers (Glasgow) FC 10/03/1984 | View match | |
| Rangers (Glasgow) FC v Dundee 17/03/1984 | View match |