  In the Next-to-Minimal-Supersymmetric-Standard-Model (NMSSM) the lightest
supersymmetric particle (LSP) is a candidate for the dark matter (DM) in the
universe. It is a mixture from the various gauginos and Higgsinos and can be
bino-, Higgsino- or singlino-dominated. Singlino-dominated LSPs can have very
low cross sections below the neutrino background from coherent neutrino
scattering which is limiting the sensitivity of future direct DM search
experiments. However, previous studies suggested that the combination of both,
the spin-dependent (SD) and spin-independent (SI) searches are sensitive in
complementary regions of parameter space, so considering both searches will
allow to explore practically the whole parameter space of the NMSSM. In this
letter, the different scenarios are investigated with a new scanning technique,
which reveals that significant regions of the NMSSM parameter space cannot be
explored, even if one considers both, SI and SD, searches.
