  The renormalization factor, dubbed ``quasiparticle charge'' Z_e, of the
coupling between the supercurrent and quasiparticles was analyzed in the
context of high temperature cuprates in a recent paper by Ioffe and Millis.
They observed that Z_e in cuprates deviates from the BCS value (Z_e=1), which
was interpreted as the proximity effect near a Mott insulator. Here we show
that the deviation from Z_e=1 can occur, in general, even in the absence of
quasiparticle interactions, when the superconducting order coexists with
another order parameter with the same internal symmetry. As an example, we
compute the coefficient of the linear temperature dependence of the superfluid
density when the d-wave superconducting state coexists with the orbital
antiferromagnetic state (d-density wave), and find that Z_e varies from
1/\sqrt{2} to 1.
