| Sheffield United FC v Swansea Town 21/11/1959 | View match | |
| Swansea Town v Middlesbrough FC 28/11/1959 | View match | |
| Derby County FC v Swansea Town 05/12/1959 | View match | |
| Swansea Town v Plymouth Argyle FC 12/12/1959 | View match | |
| Lincoln City FC v Swansea Town 19/12/1959 | View match | |
| Bristol Rovers FC v Swansea Town 26/12/1959 | View match | |
| Swansea Town v Bristol Rovers FC 28/12/1959 | View match | |
| Swansea Town v Aston Villa FC 02/01/1960 | View match | |
| Gillingham FC v Swansea Town 09/01/1960 | View match | |
| Sunderland FC v Swansea Town 16/01/1960 | View match | |
| Swansea Town v Portsmouth FC 23/01/1960 | View match | |
| Swansea Town v Burnley FC 30/01/1960 | View match |