The first inelastic amplitudes in the Lee model possessing crossing symmetries are shown to satisfy a pair of simultaneous integral equations of Omne's type which may be solved in the usual way, on assuming known elastic amplitudes. The equations may be written in such a way that the inhomogeneous terms are small in the elastic region of one of the variables. From this, it is shown that it is possible that the inelastic contributions to the absorptive part of the elastic scattering are small in the first inelastic region.A set of integral equations displaying fuller crossing symmetry among the θ particles involved is proposed.