| 1. Round | 19/08/1978 | Chelsea FC | - | Everton FC | 0:1 | ||||
| 5. Round | 09/09/1978 | Coventry City | - | Chelsea FC | 3:2 | ||||
| 6. Round | 16/09/1978 | Chelsea FC | - | Manchester City | 1:4 | ||||
| 9. Round | 07/10/1978 | Derby County | - | Chelsea FC | 1:0 | ||||
| 10. Round | 14/10/1978 | Chelsea FC | - | Bolton Wanderers | 4:3 | ||||
| 11. Round | 21/10/1978 | Liverpool FC | - | Chelsea FC | 2:0 | ||||
| 19. Round | 08/12/1978 | Chelsea FC | - | Aston Villa | 0:1 | ||||
| 20. Round | 15/12/1978 | Middlesbrough FC | - | Chelsea FC | 7:2 | ||||
| 21. Round | 22/12/1978 | Chelsea FC | - | Bristol City | 0:0 | ||||
| 22. Round | 25/12/1978 | Southampton FC | - | Chelsea FC | 0:0 | ||||
| 23. Round | 29/12/1978 | Ipswich Town | - | Chelsea FC | 5:1 | ||||
| 18. Round | 28/03/1979 | Nottingham Forest | - | Chelsea FC | 6:0 | ||||
| 29. Round | 04/04/1979 | Chelsea FC | - | Derby County | 1:1 |
Scotland