Using the current-applied pressure-assisted (CAPk) process, we could obtain fully dense isotropic and anisotropic NdFeB magnets from rapidly quenched MQP-A powder. The Nd content is found to play an important role during the current applied (CA)-pressing and CA-deformation processes. The $(BH)_max$ of CA-pressed and CA-deformed magnets are 131 kJ/$m^3$ (16.5 MGOe) and 352 kJ/$m^3$(44.2 MGOe), respectively. The change in texture of CA-deformed anisotropic NdFeB magnets with thickness reduction was investigated by pole figures and the (006) texture was found to increase with greater thickness reductions. As the thickness reduction increases from 50% to 60% to 80%, $W_50$ (the average angle of the contour with 50% intensity) decreases from $76^circ$to $62.5^circ$to $17^circ$.