| Fulham FC v Swansea Town 03/01/1959 | £4.00 | |
| Portsmouth FC v Swansea Town 10/01/1959 | View match | |
| Swansea Town v Lincoln City FC 17/01/1959 | View match | |
| Swansea Town v Manchester United FC 24/01/1959 | View match | |
| Sunderland FC v Swansea Town 31/01/1959 | View match | |
| Swansea Town v Stoke City FC 07/02/1959 | View match | |
| Charlton Athletic FC v Swansea Town 14/02/1959 | View match | |
| Ipswich Town FC v Swansea Town 21/02/1959 | View match | |
| Swansea Town v Rotherham United FC 28/02/1959 | View match | |
| Cardiff City FC v Swansea Town 07/03/1959 | View match | |
| Swansea Town v Huddersfield Town FC 14/03/1959 | View match | |
| Middlesbrough FC v Swansea Town 21/03/1959 | View match |