The production of charged particles has been measured in deep inelastic scattering with the ZEUS detector. The evolution of the moments of the scaled momenta distributions in Q² and x has been investigated in the current fragmentation region of the Breit frame. The results in the current region are compared to e⁺e^- data and QCD analytical calculations. The results are consistent with the universality of single-particle spectra in DIS and e⁺e^- annihilation at high Q². The results at low Q² disagree with analytical calculations based on the modified leading log approximation and local parton hadron duality.