| Lillestrøm SK beat FK Bodø/Glimt 4-0 (A) on 13 Jun 2004 |
| FK Bodø/Glimt beat Stabæk IF 5-2 (A) on 9 May 2004 |
| Stabæk IF beat Fredrikstad FK 2-0 (A) on 23 May 2004 |
| Fredrikstad FK beat Molde FK 1-0 (A) on 25 Apr 2004 |
| Molde FK beat Rosenborg BK 2-0 (A) on 16 May 2004 |
| Rosenborg BK beat Hamarkameratene 5-0 (H) on 6 Jun 2004 |
| Hamarkameratene beat Viking FK 1-0 (A) on 23 May 2004 |
| Viking FK beat Sogndal IL 2-0 (A) on 20 May 2004 |
| Sogndal IL beat SK Brann 3-1 (H) on 9 May 2004 |
| SK Brann beat Lyn Oslo 2-1 (A) on 31 May 2004 |
| Lyn Oslo beat Tromsø IL 2-1 (H) on 23 May 2004 |
| Tromsø IL beat Vålerenga IF 2-0 (H) on 31 May 2004 |
| Vålerenga IF beat Odd Grenland 1-0 (H) on 6 Jun 2004 |
| Odd Grenland beat Lillestrøm SK 3-2 (H) on 20 May 2004 |
HWC: Thick arrows show the earliest chain of wins that passes through every team and returns to its start.