| Morton FC v Raith Rovers FC 10/12/1983 | View match | |
| Partick Thistle FC v Morton FC 17/12/1983 | View match | |
| Morton FC v Brechin City FC 26/12/1983 | View match | |
| Hamilton Academicals v Morton FC 31/12/1983 | View match | |
| Morton FC v Meadowbank Thistle 02/01/1984 | View match | |
| Alloa Athletic FC v Morton FC 07/01/1984 | View match | |
| Kilmarnock FC v Morton FC 04/02/1984 | View match | |
| Meadowbank Thistle v Morton FC 11/02/1984 | View match | |
| Morton FC v Clyde 21/02/1984 | View match | |
| Morton FC v Partick Thistle FC 25/02/1984 | View match | |
| Morton FC v Clydebank FC (Old) 29/02/1984 | View match | |
| Raith Rovers FC v Morton FC 03/03/1984 | View match |