| Grimsby Town FC v Portsmouth FC 03/03/1984 | View match | |
| Charlton Athletic FC v Grimsby Town FC 10/03/1984 | £3.00 | |
| Charlton Athletic FC v Grimsby Town FC 10/03/1984 | View match | |
| Leeds United FC v Grimsby Town FC 17/03/1984 | View match | |
| Grimsby Town FC v Huddersfield Town FC 31/03/1984 | View match | |
| Brighton & Hove Albion FC v Grimsby Town FC 07/04/1984 | £3.00 | |
| Brighton & Hove Albion FC v Grimsby Town FC 07/04/1984 | £5.00 | |
| Grimsby Town FC v Barnsley FC 10/04/1984 | View match | |
| Grimsby Town FC v Swansea City FC 14/04/1984 | View match | |
| Sheffield Wednesday FC v Grimsby Town FC 21/04/1984 | View match | |
| Grimsby Town FC v Cambridge United FC 23/04/1984 | View match | |
| Carlisle United FC v Grimsby Town FC 28/04/1984 | View match |