We consider N = 2 supersymmetric nonlinear sigma-models in two dimensions d
efined in terms of the nonminimal scalar multiplet. We compute in superspac
e the one-loop beta function and show that the classical duality between th
ese models and the standard ones defined in terms of chiral superfields is
maintained at the quantum one-loop level. Our result provides an explicit a
pplication of the recently proposed quantization of the nonminimal scalar m
ultiplet via the Batalin-Vilkovisky procedure.