| 1. Runde | 28.09.1983 | Aarhus GF | - | Celtic FC | 1:4 | ||||
| 2. Runde | 19.10.1983 | Sporting CP | - | Celtic FC | 2:0 | ||||
| 2. Runde | 02.11.1983 | Celtic FC | - | Sporting CP | 5:0 |  |
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| Achtelfinale | 23.11.1983 | Nottingham Forest | - | Celtic FC | 0:0 | ||||
| Achtelfinale | 07.12.1983 | Celtic FC | - | Nottingham Forest | 1:2 |
Schottland