| 27. Round | 23/01/1960 | Newcastle United | - | Leicester City | 0:2 | ||||
| 29. Round | 13/02/1960 | Tottenham Hotspur | - | Leicester City | 1:2 | ||||
| 35. Round | 06/04/1960 | Sheffield Wednesday | - | Leicester City | 2:2 | ||||
| 40. Round | 18/04/1960 | Leicester City | - | Burnley FC | 2:1 | ||||
| 41. Round | 23/04/1960 | Blackburn Rovers | - | Leicester City | 0:1 | ||||
| 42. Round | 30/04/1960 | Leicester City | - | Bolton Wanderers | 1:2 |
England