| Saint Étienne beat Caen 3-0 (H) on 4 Oct 1997 |
| Caen beat Stade Lavallois 2-0 (A) on 3 Sep 1997 |
| Stade Lavallois beat Troyes 2-1 (H) on 23 Aug 1997 |
| Troyes beat Nancy 4-2 (H) on 2 Aug 1997 |
| Nancy beat Lille 3-2 (A) on 24 Sep 1997 |
| Lille beat Le Mans 2-0 (H) on 23 Aug 1997 |
| Le Mans beat Sochaux 2-0 (A) on 3 Sep 1997 |
| Sochaux beat Martigues 4-1 (H) on 2 Aug 1997 |
| Martigues beat ASOA Valence 2-0 (H) on 3 Sep 1997 |
| ASOA Valence beat Toulon 2-1 (H) on 20 Aug 1997 |
| Toulon beat Mulhouse 2-1 (H) on 23 Aug 1997 |
| Mulhouse beat Chamois Niortais 3-0 (H) on 20 Aug 1997 |
| Chamois Niortais beat Nice 4-2 (H) on 27 Sep 1997 |
| Nice beat ES Wasquehal 1-0 (H) on 13 Sep 1997 |
| ES Wasquehal beat Beauvais 3-2 (H) on 20 Aug 1997 |
| Beauvais beat Red Star 93 2-1 (H) on 16 Aug 1997 |
| Red Star 93 beat Amiens 2-0 (H) on 4 Oct 1997 |
| Amiens beat Nîmes 2-0 (H) on 6 Sep 1997 |
| Nîmes beat Lorient 1-0 (H) on 24 Sep 1997 |
| Lorient beat Louhans Cuiseaux 3-1 (A) on 16 Aug 1997 |
| Louhans Cuiseaux beat Gueugnon 2-1 (H) on 23 Aug 1997 |
| Gueugnon beat Saint Étienne 1-0 (A) on 13 Sep 1997 |
HWC: Thick arrows show the earliest chain of wins that passes through every team and returns to its start.