  We study how the quasiparticle picture of the quark can be modified near but
above the critical tempearture (Tc) of the chiral phase transition; we
incorporate into the quark self-energy the effects of the precursory soft modes
of the phase transition, i.e., `para-\sigma(\pi) meson'. It is found that the
quark spectrum has a three-peak structure near Tc: We show that the additional
new spectra originate from the mixing between a quark (anti-quark) and an
anti-quark hole (quark hole) caused by a ``resonant scattering'' of the
quasi-fermions with the thermally-excited soft modes.
