In this paper, a prediction scheme is presented to diminish both the torque and flux ripple in a Direct Torque Control (DTC) induction motor drive. In a discrete implementation of the classical DTC scheme, the time delay associated with data processing results in an additional torque and flux ripple. This part of the ripples can amount to a significant fraction of the overall ripple if the hysteresis bands are comparable to the maximum torque and flux variations in one sampling interval. This paper presents a prediction scheme with a low computational complexity and a low parameter sensitivity, both comparable to the standard DTC scheme. The prediction scheme can easily be extended to compensate for multiple time delays when the sampling frequency is raised but the computation time remains unchanged. Experimental results show the diminishing effect of the prediction scheme on the torque and flux ripples.