If you want to find out the scorers, line-ups and more details on the game, click on the full-time score.
| Date | Opponents | V | Res | HT | Competition | Comp | |
|---|---|---|---|---|---|---|---|
| 19 Aug 1978 | Chelsea | A | W | 1-0 | (1-0) | First Division | D1 |
| 22 Aug 1978 | Derby County | H | W | 2-1 | (0-1) | First Division | D1 |
| 26 Aug 1978 | Arsenal | H | W | 1-0 | (0-0) | First Division | D1 |
| 29 Aug 1978 | Wimbledon | H | W | 8-0 | (3-0) | League Cup | LC |
| 2 Sep 1978 | Manchester United | A | D | 1-1 | (1-0) | First Division | D1 |
| 9 Sep 1978 | Middlesbrough | H | W | 2-0 | (0-0) | First Division | D1 |
| 12 Sep 1978 | Finn Harps | A | W | 5-0 | (2-0) | UEFA Cup | UEFAC |
| 16 Sep 1978 | Aston Villa | A | D | 1-1 | (1-1) | First Division | D1 |
| 23 Sep 1978 | Wolverhampton Wanderers | H | W | 2-0 | (2-0) | First Division | D1 |
| 26 Sep 1978 | Finn Harps | H | W | 5-0 | (2-0) | UEFA Cup | UEFAC |
| 30 Sep 1978 | Bristol City | A | D | 2-2 | (1-2) | First Division | D1 |
| 3 Oct 1978 | Darlington | H | W | 1-0 | (0-0) | League Cup | LC |
| 7 Oct 1978 | Southampton | H | D | 0-0 | (0-0) | First Division | D1 |
| 14 Oct 1978 | Ipswich Town | A | W | 1-0 | (1-0) | First Division | D1 |
| 18 Oct 1978 | Dukla Prague | H | W | 2-1 | (1-0) | UEFA Cup | UEFAC |
| 21 Oct 1978 | Queens Park Rangers | A | D | 1-1 | (1-0) | First Division | D1 |
| 28 Oct 1978 | Liverpool | H | W | 1-0 | (0-0) | First Division | D1 |
| 1 Nov 1978 | Dukla Prague | A | L | 0-1 | (0-0) | UEFA Cup | UEFAC |
| 4 Nov 1978 | Nottingham Forest | A | D | 0-0 | (0-0) | First Division | D1 |
| 7 Nov 1978 | Nottingham Forest | H | L | 2-3 | (1-0) | League Cup | LC |
| 11 Nov 1978 | Chelsea | H | W | 3-2 | (1-1) | First Division | D1 |
| 18 Nov 1978 | Arsenal | A | D | 2-2 | (1-0) | First Division | D1 |
| 21 Nov 1978 | Manchester United | H | W | 3-0 | (2-0) | First Division | D1 |
| 25 Nov 1978 | Norwich City | A | W | 1-0 | (0-0) | First Division | D1 |
| 9 Dec 1978 | Birmingham City | A | W | 3-1 | (1-0) | First Division | D1 |
| 16 Dec 1978 | Leeds United | H | D | 1-1 | (0-1) | First Division | D1 |
| 23 Dec 1978 | Coventry City | A | L | 2-3 | (0-0) | First Division | D1 |
| 26 Dec 1978 | Manchester City | H | W | 1-0 | (0-0) | First Division | D1 |
| 30 Dec 1978 | Tottenham Hotspur | H | D | 1-1 | (1-1) | First Division | D1 |
| 10 Jan 1979 | Sunderland | A | L | 1-2 | (0-1) | FA Cup | FAC |
| 31 Jan 1979 | Aston Villa | H | D | 1-1 | (0-0) | First Division | D1 |
| 3 Feb 1979 | Wolverhampton Wanderers | A | L | 0-1 | (0-1) | First Division | D1 |
| 10 Feb 1979 | Bristol City | H | W | 4-1 | (1-1) | First Division | D1 |
| 17 Feb 1979 | Southampton | A | L | 0-3 | (0-1) | First Division | D1 |
| 24 Feb 1979 | Ipswich Town | H | L | 0-1 | (0-1) | First Division | D1 |
| 3 Mar 1979 | Queens Park Rangers | H | W | 2-1 | (2-0) | First Division | D1 |
| 6 Mar 1979 | Middlesbrough | A | W | 2-1 | (1-0) | First Division | D1 |
| 10 Mar 1979 | Nottingham Forest | H | D | 1-1 | (1-1) | First Division | D1 |
| 13 Mar 1979 | Liverpool | A | D | 1-1 | (0-1) | First Division | D1 |
| 24 Mar 1979 | Derby County | A | D | 0-0 | (0-0) | First Division | D1 |
| 30 Mar 1979 | Norwich City | H | D | 2-2 | (0-1) | First Division | D1 |
| 3 Apr 1979 | Bolton Wanderers | A | L | 1-3 | (1-1) | First Division | D1 |
| 7 Apr 1979 | West Bromwich Albion | A | L | 0-1 | (0-0) | First Division | D1 |
| 10 Apr 1979 | Coventry City | H | D | 3-3 | (1-3) | First Division | D1 |
| 14 Apr 1979 | Manchester City | A | D | 0-0 | (0-0) | First Division | D1 |
| 16 Apr 1979 | Bolton Wanderers | H | W | 1-0 | (1-0) | First Division | D1 |
| 21 Apr 1979 | Leeds United | A | L | 0-1 | (0-0) | First Division | D1 |
| 28 Apr 1979 | Birmingham City | H | W | 1-0 | (0-0) | First Division | D1 |
| 1 May 1979 | West Bromwich Albion | H | L | 0-2 | (0-1) | First Division | D1 |
| 5 May 1979 | Tottenham Hotspur | A | D | 1-1 | (1-1) | First Division | D1 |