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Details of Chelsea's 1977-78 FA Cup campaign.
| Date | Rnd | Team | At | Score | Att | Scorers |
| Sat, 07 Jan, 78 | 3rd | Liverpool | (h) | 4-2 | 45,449 | Lamgley, Walker 2, Finnieston |
| Tue, 31 Jan 78 | 4th | Burnley | (h) | 6-2 | 32,168 | Droy, Wicks, Wilkins, R., Langley, Swain, Walker |
| Sat, 18 Feb, 78 | 5th | Leyton Orient | (a) | 0-0 | 25,123 | |
| Mon, 27 Feb, 78 | 5th | Leyton Orient | (h) | 1-2 | 36,379 | OG |