Recently a digital control algorithm, known as Conservative Model Based Controller (CMBC), with superior performance compared to many other currently popular controllers was discussed in the literature. It provides offset-free performance; however a large number of terms will have to be included in the algorithm to achieve this. This paper describes two modification to ensure zero offset with limited number of terms in the algorithm. These modifications are evaluated through simulation by considering a few typical first order with dead time (FODT) processes. Both modifications provide offset-free performance, and either could be employed depending on the nature of the process response data on hand.