| Derby beat Stoke 4-0 (H) on 11 Sep 1971 |
| Stoke beat Huddersfield 1-0 (H) on 18 Sep 1971 |
| Huddersfield beat Leeds 2-1 (H) on 25 Sep 1971 |
| Leeds beat Liverpool 1-0 (H) on 18 Sep 1971 |
| Liverpool beat Southampton 1-0 (H) on 11 Sep 1971 |
| Southampton beat Nottingham 3-2 (A) on 24 Aug 1971 |
| Nottingham beat West Ham 1-0 (H) on 21 Aug 1971 |
| West Ham beat Chelsea 2-1 (H) on 11 Sep 1971 |
| Chelsea beat West Brom 1-0 (H) on 1 Sep 1971 |
| West Brom beat Everton 2-0 (H) on 18 Aug 1971 |
| Everton beat Manchester United 1-0 (H) on 31 Aug 1971 |
| Manchester United beat Sheffield United 2-0 (H) on 2 Oct 1971 |
| Sheffield United beat Arsenal 1-0 (A) on 24 Aug 1971 |
| Arsenal beat Leicester 3-0 (H) on 25 Sep 1971 |
| Leicester beat Ipswich 2-1 (A) on 11 Sep 1971 |
| Ipswich beat Coventry 3-1 (H) on 17 Aug 1971 |
| Coventry beat Tottenham 1-0 (H) on 25 Sep 1971 |
| Tottenham beat Crystal Palace 3-0 (H) on 18 Sep 1971 |
| Crystal Palace beat Newcastle 2-0 (H) on 14 Aug 1971 |
| Newcastle beat Wolverhampton 2-0 (H) on 18 Sep 1971 |
| Wolverhampton beat Manchester City 2-1 (H) on 24 Aug 1971 |
FLP: Thick arrows show the earliest chain of wins that passes through every team.