| Reading FC v Swindon Town FC 21/03/1959 | View match | |
| Doncaster Rovers FC v Swindon Town FC 27/03/1959 | View match | |
| Swindon Town FC v Colchester United FC 28/03/1959 | View match | |
| Swindon Town FC v Doncaster Rovers FC 30/03/1959 | View match | |
| Bournemouth & Boscombe v Swindon Town FC 04/04/1959 | View match | |
| Norwich City FC v Swindon Town FC 08/04/1959 | View match | |
| Swindon Town FC v Bury FC 11/04/1959 | View match | |
| Mansfield Town FC v Swindon Town FC 13/04/1959 | View match | |
| Southend United FC v Swindon Town FC 18/04/1959 | £8.00 | |
| Swindon Town FC v Mansfield Town FC 22/04/1959 | View match | |
| Swindon Town FC v Norwich City FC 25/04/1959 | £6.50 | |
| Queens Park Rangers FC v Swindon Town FC 27/04/1959 | View match |