This paper describes the possibility of extending the functionality of the DMC controller in the application to control processes with higher-order dynamics, also with delay. Normally, in such cases, the DMC controller uses a predictive model in the form of a sampled step response of the process or samples of the step response generated using FOPDT model obtained from the process step response approximation. In this paper it is proposed to replace the FOPDT model used to generate step response samples with the SOPDT model, which allows for a more accurate representation of the dynamics of the controlled process in the case of processes with a higher order dynamics. The SOPDT model can be determined from the step response of the process, similarly to the FOPDT model. The analysis of the proposed solution was carried out using the simulation validation using benchmark dynamic processes and selected methods of DMC tuning. The research also takes into account the of measurement noise. The results clearly indicate that replacing the FOPDT model for generating step response samples with the SOPDT model gives significant benefits in the cases of processes with a higher order of dynamics, resulting in faster response time and smoother control action. The obtained results indicate a particularly pronounced improvement in the control effort index. In the presence of measurement noise, the improvement reaches up to 25% compared to the FOPDT-based model.