The Na(3s to 3p) excitation in the Na+He collision, in the 30 eV<ECM<10 keV energy range, is investigated theoretically along the same lines as those of a previous study on the Na+Ne collision by Courbin-Gaussorgues et al. (1983). Calculations are first performed on the curve-crossing mechanism (i) at low energy using a five-state molecular basis that involves the diabatic SCF orbitals obtained by Courbin-Gaussorgues et al. Contrary to the Na+Ne case the threshold of the experimental Na (3s-3p) cross section and its magnitude are not reproduced by this calculation. On the other hand the direct 3s to 3p transition mechanism (ii), treated in an eight-state basis that involves orthogonalised frozen atomic orbitals, accounts for the gross features of the experimental data in the whole energy range. Finally an eight-state model that combines both mechanisms (i)+(ii) is proposed and its results are discussed and compared with the available total and differential experimental data.