Reliable data published in the literature on the nonlinear relaxational behavior of amorphous polymers in the rubbery range (T > Tg) are reanalyzed according to the “double-shift” procedure. The purpose of this study is to investigate the existence of a low strain-middle strain transition at around 40—50% of strain when an amorphous polymer is pulled in the rubbery state. This critical strain transition separating two distinct regimes of deformational behavior has already been reported in tensile experiments at constant pulling speed. In the work which is reanalyzed here, cross-linked or un-cross-linked amorphous elastomers are suddenly deformed at a constant temperature to a certain finite strain level and then allowed to relax. We replot the original relaxation data in a manner which is compatible with the double-shift superposition technique. Then we determine the best value of the horizontal and vertical shift factors so the curves obtained at different relaxational strains can superimpose. The analysis of the strain dependence of the shift factors confirms the existence, for the elastomers studied (PDMS, PBD, PIB), of a critical strain transition at around 40—50% of strain.