In this work we consider the presence of voids of anisotropic shape inside polycrystals submitted to large strain deformation. For this purpose, the originally incompressible viscoplastic selfconsistent (VPSC) formulation has been extended to deal with compressible polycrystals. In doing this, both the deviatoric and the spherical components of strain-rate and stress are accounted for. As a consequence, the extended model provides a relationship between the void growth rate and the hydrostatic pressure allowing porosity evolution. The formulation is validated by comparison with the classical Gurson model formulated for rate-independent isotropic media and spherical voids. This compressible VPSC (CVPSC) model is used to study the coupling between texture, void shape, crystal symmetry and the effect of triaxiality on void growth.