| 34. Round | 27/04/2024 | Kilmarnock FC | - | Heart of Midlothian | 0:0 | ||||
| 35. Round | 04/05/2024 | Celtic FC | - | Heart of Midlothian | 3:0 |  |
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| 36. Round | 11/05/2024 | Heart of Midlothian | - | Dundee FC | 3:0 | ||||
| 37. Round | 15/05/2024 | St. Mirren FC | - | Heart of Midlothian | 2:2 | ||||
| 38. Round | 18/05/2024 | Heart of Midlothian | - | Rangers FC | 3:3 |
Australia