  We generalize the covariant c-map found in hep-th/0701214 including
perturbative quantum corrections. We also perform explicitly the superconformal
quotient from the hyperkahler cone obtained by the quantum c-map to the
quaternion-Kahler space, which is the moduli space of hypermultiplets. As a
result, the perturbatively corrected metric on the moduli space is found in a
simplified form comparing to the expression known in the literature.
