The effect of the dc magnetic field on the damping behaviour of a stress-relieved Ni sample is examined under low frequency free torsional vibrations. High damping capacity, reaching 40% fractional energy dissipation per full period was detected in stages of high magnetization, beyond 90% from technical saturation. The damping of magnetic origin is attributed to the vibration-induced movement of the still existing non-180 • domain walls, through the irregular energy landscape generated by their interaction with the structure defects. The overall energy loss per full period of vibration is evaluated as the statistical addition of contributions from local dissipative processes consisting in forward and reverse Barkhausen jumps, triggered by the periodic stress and either favoured or suppressed by the field, depending on its strength. Predictions were obtained in good agreement with the experiment.