  The decreasing of the inertial mass density, established in the past for
dissipative fluids, is found to be produced by the ``inertial'' term of the
transport equation. Once the transport equation is coupled to the dynamical
equation one finds that the contribution of the inertial term diminishes the
effective inertial mass and the ``gravitational'' force term, by the same
factor. An intuitive picture, and prospective applications of this result to
astrophysical scenarios are discussed.
