| 22. Round | 25/12/1979 | Bolton Wanderers | - | Everton FC | 1:1 |  |
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| 23. Round | 28/12/1979 | Everton FC | - | Derby County | 1:1 | ||||
| 24. Round | 31/12/1979 | Everton FC | - | Nottingham Forest | 1:0 | ||||
| 25. Round | 11/01/1980 | Aston Villa | - | Everton FC | 2:1 | ||||
| 27. Round | 01/02/1980 | Wolverhampton Wanderers | - | Everton FC | 0:0 | ||||
| 28. Round | 08/02/1980 | Everton FC | - | Ipswich Town | 0:4 | ||||
| 29. Round | 18/02/1980 | Bristol City | - | Everton FC | 2:1 | ||||
| 30. Round | 22/02/1980 | Crystal Palace | - | Everton FC | 1:1 | ||||
| 31. Round | 29/02/1980 | Everton FC | - | Liverpool FC | 1:2 | ||||
| 32. Round | 11/03/1980 | Manchester United | - | Everton FC | 0:0 | ||||
| 33. Round | 14/03/1980 | Everton FC | - | Coventry City | 1:1 | ||||
| 26. Round | 18/03/1980 | Everton FC | - | Stoke City | 2:0 | ||||
| 34. Round | 22/03/1980 | Middlesbrough FC | - | Everton FC | 2:1 | ||||
| 35. Round | 28/03/1980 | Everton FC | - | Arsenal FC | 0:1 | ||||
| 40. Round | 18/04/1980 | Tottenham Hotspur | - | Everton FC | 3:0 | ||||
| 41. Round | 25/04/1980 | Everton FC | - | Southampton FC | 2:0 | ||||
| 39. Round | 27/04/1980 | Everton FC | - | West Bromwich Albion | 0:0 | ||||
| 42. Round | 02/05/1980 | Brighton & Hove Albion | - | Everton FC | 0:0 |
Scotland