| 6. Round | 05/09/1960 | Blackpool FC | - | Everton FC | 1:4 | ||||
| 7. Round | 10/09/1960 | Everton FC | - | Wolverhampton Wanderers | 3:1 | ||||
| 13. Round | 15/10/1960 | Fulham FC | - | Everton FC | 2:3 | ||||
| 14. Round | 24/10/1960 | Everton FC | - | Manchester City | 4:2 | ||||
| 15. Round | 29/10/1960 | Nottingham Forest | - | Everton FC | 1:2 | ||||
| 16. Round | 05/11/1960 | Everton FC | - | West Bromwich Albion | 1:1 | ||||
| 17. Round | 12/11/1960 | Cardiff City | - | Everton FC | 1:1 |
Wales