  We show that the family of spectral triples for quantum projective spaces
introduced by D'Andrea and Dabrowski, which have spectral dimension equal to
zero, can be reconsidered as modular spectral triples by taking into account
the action of the element $K_{2\rho}$ or its inverse. The spectral dimension
computed in this sense coincides with the dimension of the classical projective
spaces. The connection with the well known notion of quantum dimension of
quantum group theory is pointed out.
