Finite element solutions for near tip stress and deformation fields in elastic-power law creeping solids are used to investigate the dominance of the asymptotic crack tip fields. With geometry changes neglected, the full range from small scale to extensive creep is analyzed. A full finite deformation analysis is carried out under small scale creep conditions. Our analyses show that, in the transient regime, Hutchinson-Rice-Rosengren type singular fields dominate over a region that is about one fifth the extent of the creep zone. Finite deformation effects are found to dominate over a size scale of the order of the crack tip opening as is the case for rate independent solids. Our numerical results for the time dependence of the amplitude of near tip fields are in good agreement with the approximate relation given by Riedel and Rice [7] and Ohji, Ogura and Kubo [5].