| Rayo Vallecano beat Plus Ultra 3-2 (A) on 1 Nov 1959 |
| Plus Ultra beat Levante 4-2 (H) on 20 Sep 1959 |
| Levante beat Ceuta 3-1 (H) on 18 Oct 1959 |
| Ceuta beat Córdoba 1-0 (H) on 27 Sep 1959 |
| Córdoba beat Extremadura 3-1 (H) on 20 Sep 1959 |
| Extremadura beat Recreativo Huelva 5-1 (H) on 1 Nov 1959 |
| Recreativo Huelva beat RCD Mallorca 2-1 (H) on 27 Sep 1959 |
| RCD Mallorca beat Real Murcia 2-0 (H) on 4 Oct 1959 |
| Real Murcia beat San Fernando 1-0 (H) on 25 Oct 1959 |
| San Fernando beat Tenerife 2-1 (A) on 20 Sep 1959 |
| Tenerife beat Badajoz 2-1 (A) on 25 Oct 1959 |
| Badajoz beat Mestalla 4-2 (H) on 18 Oct 1959 |
| Mestalla beat Real Jaén 2-1 (H) on 25 Oct 1959 |
| Real Jaén beat Atlético Almería 7-1 (H) on 4 Oct 1959 |
| Atlético Almería beat Cádiz 3-1 (H) on 13 Sep 1959 |
| Cádiz beat Rayo Vallecano 3-1 (H) on 20 Sep 1959 |
HWC: Thick arrows show the earliest chain of wins that passes through every team and returns to its start.