| Vålerenga IF beat Molde FK 3-1 (H) on 20 Sep 1998 |
| Molde FK beat Strømsgodset IF 2-1 (A) on 9 Jul 1998 |
| Strømsgodset IF beat SK Brann 1-0 (A) on 10 May 1998 |
| SK Brann beat Tromsø IL 3-1 (H) on 22 Aug 1998 |
| Tromsø IL beat Viking FK 2-1 (A) on 26 Apr 1998 |
| Viking FK beat FK Haugesund 3-1 (H) on 7 May 1998 |
| FK Haugesund beat Moss FK 5-1 (H) on 9 Jul 1998 |
| Moss FK beat Stabæk IF 1-0 (H) on 19 Apr 1998 |
| Stabæk IF beat FK Bodø/Glimt 3-2 (H) on 13 Apr 1998 |
| FK Bodø/Glimt beat Sogndal IL 3-0 (H) on 19 Apr 1998 |
| Sogndal IL beat Rosenborg BK 2-1 (H) on 9 Jul 1998 |
| Rosenborg BK beat Kongsvinger IL 8-2 (A) on 9 Sep 1998 |
| Kongsvinger IL beat Lillestrøm SK 3-0 (A) on 13 Apr 1998 |
| Lillestrøm SK beat Vålerenga IF 3-2 (H) on 27 Apr 1998 |
HWC: Thick arrows show the earliest chain of wins that passes through every team and returns to its start.