| 8. Round | 29/09/1979 | Leeds United | - | Manchester City | 1:2 | ||||
| 12. Round | 20/10/1979 | Leeds United | - | Tottenham Hotspur | 1:2 | ||||
| 13. Round | 27/10/1979 | Southampton FC | - | Leeds United | 1:2 | ||||
| 14. Round | 02/11/1979 | Leeds United | - | Bristol City | 1:3 | ||||
| 31. Round | 29/02/1980 | Tottenham Hotspur | - | Leeds United | 2:1 |  |
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| 32. Round | 07/03/1980 | Leeds United | - | Southampton FC | 2:0 | ||||
| 33. Round | 13/03/1980 | Ipswich Town | - | Leeds United | 1:0 | ||||
| 27. Round | 19/03/1980 | Liverpool FC | - | Leeds United | 3:0 | ||||
| 34. Round | 22/03/1980 | Leeds United | - | Coventry City | 0:0 | ||||
| 35. Round | 29/03/1980 | West Bromwich Albion | - | Leeds United | 2:1 | |
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| 37. Round | 02/04/1980 | Leeds United | - | Middlesbrough FC | 2:0 | ||||
| 38. Round | 05/04/1980 | Derby County | - | Leeds United | 2:0 | ||||
| 36. Round | 07/04/1980 | Leeds United | - | Stoke City | 3:0 | ||||
| 39. Round | 11/04/1980 | Crystal Palace | - | Leeds United | 1:0 | ||||
| 40. Round | 18/04/1980 | Leeds United | - | Aston Villa | 0:0 | ||||
| 41. Round | 25/04/1980 | Wolverhampton Wanderers | - | Leeds United | 3:1 | ||||
| 42. Round | 02/05/1980 | Leeds United | - | Manchester United | 2:0 |
England
Ireland