  We build upon the remarkable, model independent constraints on the equation
of state of dense baryonic matter established recently by Annala et al. [1].
Using the quark-meson coupling model, an approach to nuclear structure based
upon the self-consistent adjustment of hadron structure to the local meson
fields, we show that, once hyperons are allowed to appear in dense matter in
\b{eta}-equilibrium, the equation of state is consistent with those
constraints. As a result, while one cannot rule out the occurence of quark
matter in the cores of massive neutron stars, the available constraints are
also compatible with the presence of hyperons.
