  We extend the study of nuclear dependence of the transverse momentum
dependent parton distribution functions and azimuthal asymmetries to
semi-inclusive deep inelastic scattering (SIDIS) off polarized nuclear targets.
We show that azimuthal asymmetries are suppressed for SIDIS off a polarized
nuclear target relative to that off a polarized nucleon due to multiple
scattering inside the nucleus. Using the value of transport parameter inside
large nuclei extracted from jet quenching analyses in SIDIS off nuclear
targets, we also present a numerical estimate of the nuclear suppression of the
azimuthal asymmetry that might be useful to guide the future experimental
studies of SIDIS off polarized nuclear targets.
