  In this paper, we studied the ``hyperon puzzle", a problem that nevertheless
the large number of studies is still an open problem. The solution of this
issue requires one or more mechanisms that could eventually provide the
additional repulsion needed to make the EoS stiffer and, therefore, the value
of $M_{\rm{max}, T}$ compatible with the current observational limits. In this
paper we proposed that including dark matter (DM) admixed with ordinary matter
in neutron stars (NSs), change the hydrostatic equilibrium and may explain the
observed discrepancies, regardless to hyperon multi-body interactions, which
seem to be unavoidable.
  We have studied how non-self-annihilating, and self-interacting, DM admixed
with ordinary matter in NSs changes their inner structure, and discussed the
mass-radius relations of such NSs. We considered DM particle masses of 1, 10,
and 100 GeV, while taking into account a rich list of the DM interacting
strengths, $y$.
  By analyzing the multidimensional parameter space, including several
quantities like: a. the DM interacting strength, b. the DM particle mass as
well as the quantity of DM in its interior, and c. the DM fraction, ${\rm
f}_{DM}$, we put constraints in the parameter space ${\rm f}_{DM} -
p^{\prime}_{\rm DM}/p^{\prime}_{\rm OM}$. Our bounds are sensitive to the
recently observed NSs total masses.
