Transport coefficients of the Statistical Inelastic Cross-Section (SICS) model for continuous rotational energy with Parker's rotational energy gain function are examined by simulation of molecular diffusion in a homogeneous heat bath gas and channel flow between parallel flat plates. This study reveals that the transport coefficients of SICS model are inconsistest with the Chapman-Enskog (CE) theory, Euken correction (EC), and recommended data because of overestimation of effective collision frequency. The scattering law of the SICS model is modified by introducing the reduced impact parameter. Transport coefficients of the modified SICS (MSICS) model are in reasonable agreement with those of CE, EC solutions, and recommended data, except for the low-temperature range.