The behaviours of the wall relaxation and the diffusant relaxation of a high purity polycrystalline YIG, slightly deficient, are investigated from 77K to Tc (550K) by measuring the complex initial permeability over a broad frequency range (up to 1000 MHz). A critical temperature Tcr ( approximately 310K) is defined when the two relaxation processes merge together. Below Tcr one finds a large effect of the 'relaxed' diffusants upon the wall mobility (or damping); above Tcr, where the diffusants can follow the wall motion, no appreciable effect is observed. This later fact is in contradiction with the existing theories of the 'diffusion damping' of the domain walls.