We report history-dependent critical currents across the disordered solid to Bragg glass transition occurring in the low-field region in V₃Si and NdBa₂Cu₃O_2-x single crystals. This is in addition to the history depen-dence usually observed near the high-field Bragg-glass–disordered-solid transition. It is further shown that the metastable frozen-in disordered vortex matter coexists with the ordered phase in the entire Bragg glass region.We conclude that the amount of the metastable disordered phase prior to the high-field Bragg-glass–disordered-solid transition is crucial in nucleating further growth of the disordered phase near the transition.This mechanism results in the onset of the high-field peak to occur at lower fields when the frozen-in disor-dered phase prior to the transition is larger.