The field splitting of the real squashing, J=2, mode in He3-B is shown to become highly nonlinear at large fields as a result of the ellipsoidal deformation of the energy gap. This leads to crossings of the Jz=+1 and Jz=0 levels with the Jz=+2 level. The crossing points depend sensitively on the couplings between the J=2, 1, and 0 modes. The theory is in good agreement with the observed field evolution and level crossing as measured recently by Shivaram et al. © 1983 The American Physical Society.