We study the behavior of the critical current, I-c(H,T), of pure and Fe-doped NbSe2 crystals in the denominated disordered vortex region, limited by the critical field H-c2(T) and the field H-p(T) at which the peak effect in I-c(H,T) is detected. The critical current follows an individual pinning response as demonstrated by its field-independent universal function of the superfluid density. Transport measurements combined with Bitter decorations show no evidence of the existence of an amorphous phase in the high-temperature region.