  In this work we investigate the extra packing of mass within the framework of
gravitational decoupling by means of Minimal Geometric Deformation approach. It
is shown that, after a suitable set of the free parameters involved, the
like--Tolman IV solution extended by Minimal Geometric Deformation not only
acquire extra packing of mass but it corresponds to a stable configuration
according to the adiabatic index criteria. Additionally, it is shown that the
extra packing condition induce a lower bound on the compactness parameter of
the seed isotropic solution and a stringent restriction on the decoupling
parameter.
