We apply the delta-expansion to the Gross-Neveu model in the large N limit with Wilson fermion and investigate dynamical mass generation from inverse-mass expansion. The dimensionless mass M defined via the effective potential is employed as the expansion parameter of the bare coupling constant beta which is partially renormalized by the subtraction of linear divergence. We show that delta-expansion of the 1/M series of beta is compatible with the mass renormalization. After the confirmation of the continuum scaling of the bare coupling without fermion doubling, we attempt to estimate dynamical mass in the continuum limit and obtain the results converging to the exact value for values of Wilson parameter r belonging to (0.8,1.0).