| Match Date | Fixture | Opponent | Result | Score |
| Sat 13 Aug 1977 | H | Newport County - Football League Cup Round 1 1st Leg | W | 3 - 1 |
| Tue 16 Aug 1977 | A | Newport County - Football League Cup Round 1 2nd Leg | L | 2 - 3 |
| Wed 31 Aug 1977 | H | Leicester City - Football League Cup Round 2 | W | 2 - 0 |
| Tue 25 Oct 1977 | H | Swindon Town - Football League Cup Round 3 | D | 1 - 1 |
| Tue 1 Nov 1977 | A | Swindon Town - Football League Cup Round 3 Replay | L | 3 - 4 |
| Sat 26 Nov 1977 | H | Bideford - FA Cup Round 1 | W | 3 - 1 |
| Sat 17 Dec 1977 | H | Swansea City - FA Cup Round 2 | D | 2 - 2 |
| Tue 20 Dec 1977 | A | Swansea City - FA Cup Round 2 Replay | L | 1 - 2 |
