  We investigate the full U(3)$\otimes$U(3) chiral symmetry restoration, at
finite temperature and density, on the basis of the three flavor
Nambu-Jona-Lasinio model with the anomaly term given by the 't Hooft
interaction. We implement a temperature (density) dependence of the anomaly
coefficient motivated by lattice results for the topological susceptibility.
The results suggest that the axial part of the symmetry is restored before the
possible restoration of the full U(3)$\otimes$U(3) chiral symmetry can occur.
