  A generalization of the Next-to-Minimal Supersymmetric Model (NMSSM) is
studied in which an explicit \mu-term as well as a small supersymmetric mass
term for the singlet superfield are incorporated. We study the possibility of
raising the Standard Model-like Higgs mass at tree level through its mixing
with a light, mostly-singlet, CP-even scalar. We are able to generate Higgs
boson masses up to 145 GeV with top squarks below 1.1 TeV and without the need
to fine tune parameters in the scalar potential. This model yields light
singlet-like scalars and pseudoscalars passing all collider constraints.
