| Leeds United FC v Bristol City FC 04/03/1978 | £4.50 | |
| Bristol City FC v Everton FC 11/03/1978 | View match | |
| Arsenal FC v Bristol City FC 18/03/1978 | View match | |
| Bristol City FC v Chelsea FC 21/03/1978 | £5.50 | |
| Bristol City FC v Birmingham City FC 25/03/1978 | View match | |
| West Bromwich Albion FC v Bristol City FC 27/03/1978 | View match | |
| Bristol City FC v Newcastle United FC 01/04/1978 | View match | |
| Middlesbrough FC v Bristol City FC 08/04/1978 | View match | |
| Bristol City FC v Liverpool FC 15/04/1978 | View match | |
| Ipswich Town FC v Bristol City FC 22/04/1978 | View match | |
| Bristol City FC v Manchester United FC 25/04/1978 | View match | |
| Bristol City FC v Coventry City FC 29/04/1978 | View match |