This paper presents a novel approach for extrapolating DEM simulations of heat transfer over a long period of time. This method is an extension of a previously published algorithm for granular motion extrapolation, introducing heat transfer. The main idea is to perform a short-term DEM simulation for one period and then apply a conductive heat transfer extrapolation algorithm. This strategy is tested over a pilot-scale rotating drum. The outcomes of standard and extrapolated DEM simulations are compared. The results are very similar while the computational time is reduced by a factor greater than 100.