| Strasbourg beat Metz 2-0 (H) on 5 Oct 1997 |
| Metz beat PSG 2-1 (H) on 22 Aug 1997 |
| PSG beat Châteauroux 2-0 (H) on 2 Aug 1997 |
| Châteauroux beat Rennes 1-0 (H) on 11 Sep 1997 |
| Rennes beat SC Bastia 2-0 (H) on 26 Sep 1997 |
| SC Bastia beat Bordeaux 4-1 (H) on 5 Sep 1997 |
| Bordeaux beat Monaco 1-0 (H) on 1 Aug 1997 |
| Monaco beat Olympique Lyonnais 3-0 (A) on 16 Aug 1997 |
| Olympique Lyonnais beat Auxerre 2-1 (A) on 20 Sep 1997 |
| Auxerre beat Guingamp 1-0 (H) on 22 Aug 1997 |
| Guingamp beat Lens 2-1 (H) on 11 Sep 1997 |
| Lens beat Marseille 3-2 (A) on 22 Aug 1997 |
| Marseille beat Le Havre 3-1 (H) on 2 Aug 1997 |
| Le Havre beat Montpellier 4-0 (H) on 9 Aug 1997 |
| Montpellier beat Toulouse 4-0 (H) on 22 Aug 1997 |
| Toulouse beat Cannes 1-0 (A) on 9 Aug 1997 |
| Cannes beat Nantes 2-1 (A) on 26 Sep 1997 |
| Nantes beat Strasbourg 2-1 (A) on 21 Aug 1997 |
HWC: Thick arrows show the earliest chain of wins that passes through every team and returns to its start.