  We study the effects of non-magnetic impurity scattering on the Andreev bound
states (ABS) in an isolated vortex in a two-dimensional chiral p-wave
superconductor numerically. We incorporate the impurity scattering effects into
the quasiclassical Eilenberger formulation through the self-consistent
$t$-matrix approximation. Within this scheme, we calculate the local density of
states (LDOS) around two types of vortices: "parallel" ("anti-parallel") vortex
where the phase winding of the pair-potential coming from vorticity and that
coming from chirality have the same (opposite) sign.
  When the scattering phase-shift $\delta_0$ of each impurity is small, we find
that impurities affect differently low energy quasiparticle spectrum around the
two types of vortex in a way similar to that in the Born limit
($\delta_0\rightarrow 0$). For a larger $\delta_0(\leq \pi/2)$ however we find
that ABS in the vortex is strongly suppressed by impurities for both types of
vortex. We found that there are some correlations between the suppression of
ABS near vortex cores and the low energy density of states due to impurity
bands in the bulk.
