Although comodulation masking release (CMR) is commonly associated with across-channel processes, it was often argued that part of the effect may be explained by processing within an auditory filter. One peripheral mechanism for such within-channel process is cochlear suppression. Using the dual-resonance nonlinear filter model with different sets of model parameters, the present study shows that the simulated CMR is associated with the simulated two-tone suppression. A modification of the model parameters results in a more accurate prediction of suppression and thus, is also more accurate in predicting the contribution of suppression to CMR.