| 16. Round | 16/11/1979 | Middlesbrough FC | - | Bristol City | 1:0 | ||||
| 17. Round | 23/11/1979 | Bristol City | - | Manchester City | 1:0 | ||||
| 18. Round | 30/11/1979 | Bolton Wanderers | - | Bristol City | 1:1 | ||||
| 19. Round | 07/12/1979 | Bristol City | - | Tottenham Hotspur | 1:3 | ||||
| 20. Round | 14/12/1979 | Norwich City | - | Bristol City | 2:0 | ||||
| 23. Round | 28/12/1979 | Bristol City | - | Aston Villa | 1:3 | ||||
| 24. Round | 31/12/1979 | Bristol City | - | Brighton & Hove Albion | 2:2 | ||||
| 25. Round | 11/01/1980 | Wolverhampton Wanderers | - | Bristol City | 3:0 | ||||
| 26. Round | 18/01/1980 | Bristol City | - | Ipswich Town | 0:3 | ||||
| 27. Round | 01/02/1980 | Stoke City | - | Bristol City | 1:0 |
England