  In the Next-to-Minimal Supersymmetric Standard Model there is a strong
correlation between the mass terms corresponding to the singlet Higgs and the
singlino interaction states, both of which are proportional to the parameter
$\kappa$. If this parameter is complex, explicit CP-violation occurs in the
Higgs as well as the neutralino sectors of the model at the tree level, unlike
in the minimal scenario. A small magnitude of $\kappa$ typically yields a
$\cal{O}$(10) GeV lightest neutralino with a dominant singlino component. In
such a scenario, the phase of $\kappa$, beside modifying the properties of the
five Higgs bosons, can also have a crucial impact on the phenomenology of the
neutralino dark matter. In this study we perform a first investigation of this
impact on the relic abundance of the dark matter solutions with sub-100 GeV
masses, obtained for parameter space configurations of the model that are
consistent with a variety of current experimental data.
