  In the Next-to-Minimal SuperSymmetric Model (NMSSM) the lightest CP-odd Higgs
bosons (a1) can be very light. As a consequence, in addition to the standard
charged Higgs boson (h+) decays considered in the MSSM for a light charged
Higgs (m_h+ < m_t), the branching fraction for h+ to a1 W can be dominant. We
investigate how this signal can be searched for in t tbar production at the
Large Hadron Collider (LHC) in the case that m_a1 \gtrsim 2m_B with the a1
giving rise to a single b bbar-jet and discuss to what extent the LHC
experiments are able to discover such a scenario with an integrated luminosity
\sim 20 fb-1. We also discuss the implications of the possible Higgs-signal
observed at the LHC.
