An upcoming transverse spin experiment at Jefferson Lab After many years of preparation, the Neutron Transversity Experiment (E06-010) is about to collect data from Oct. 2008 to Feb. 2009 at DOE's Thomas Jefferson National Accelerator Facility. Since the late 70's, a rather strange target single-spin asymmetry phenomena has been observed, in which hadron fragments from a quark in a transversely polarized nucleon seem to have a left-right preference. Indeed, recent deep-inelastic scattering experiments from HERA and CERN have clearly demonstrated that a quark in transversely polarized proton can manage to tell left from right. Does such a target single-spin asymmetry depend on a quark's flavor ? The upcoming experiment using a polarized neutron target (He-3) seeks to provide the answer. Members of the P25 group at LANL have been playing leading roles in this experiment.