A detailed analysis of the results of high‐precision bulk magnetization and ac susceptibility data taken in the critical region on amorphous Fe16Ni64B19Si1alloy before and after it had undergone isothermal annealing treatment atTA=400 K for durations of timetA=60 and 120 minutes reported in this paper reveals that the structural relaxation consequent upon isothermal annealing does not affect the asymptotic and ‘‘correction‐to‐scaling’’ (CTS) critical exponents but has marked influence on the CTS amplitudes.