| Luton beat Manchester City 5-1 (H) on 17 Sep 1958 |
| Manchester City beat Burnley 4-3 (A) on 23 Aug 1958 |
| Burnley beat Arsenal 3-1 (H) on 2 Sep 1958 |
| Arsenal beat Bolton 6-1 (H) on 9 Sep 1958 |
| Bolton beat Nottingham 3-2 (H) on 20 Sep 1958 |
| Nottingham beat West Ham 4-0 (H) on 13 Sep 1958 |
| West Ham beat Manchester United 3-2 (H) on 8 Sep 1958 |
| Manchester United beat Blackburn 6-1 (H) on 6 Sep 1958 |
| Blackburn beat Newcastle 5-1 (A) on 23 Aug 1958 |
| Newcastle beat Wolverhampton 3-1 (A) on 20 Sep 1958 |
| Wolverhampton beat Blackpool 2-0 (H) on 6 Sep 1958 |
| Blackpool beat Tottenham 3-2 (A) on 23 Aug 1958 |
| Tottenham beat Chelsea 4-0 (H) on 3 Sep 1958 |
| Chelsea beat Aston Villa 2-1 (H) on 13 Sep 1958 |
| Aston Villa beat Portsmouth 3-2 (H) on 25 Aug 1958 |
| Portsmouth beat West Brom 2-1 (A) on 10 Sep 1958 |
| West Brom beat Birmingham 6-0 (A) on 3 Sep 1958 |
| Birmingham beat Leeds 4-1 (H) on 17 Sep 1958 |
| Leeds beat Preston North End 2-1 (A) on 6 Sep 1958 |
| Preston North End beat Leicester 3-1 (H) on 22 Sep 1958 |
| Leicester beat Everton 2-0 (H) on 23 Aug 1958 |
FLP: Thick arrows show the earliest chain of wins that passes through every team.