The form-factors for the transition N* (1535) -> N induced by isovector and isoscalar axial currents within the framework of light cone QCD sum rules by using the most general form of the interpolating current are calculated. In numerical calculations, we use two sets of values of input parameters. It is observed that the Q(2) dependence of the form-factor G(A) can be described by the dipole form. Moreover, the form-factors G(p)((S)) are found to be highly sensitive to the variations in the auxiliary parameter beta. The numerical calculations show that the form factor G(T)((S)) at all values of Q(2) and beta for both sets of values of the parameters are smaller than that one for G(A)((S)) andG(S)((S)).