This contribution describes a encoder-only and lossless modification to the computation of MTS transforms using the adjustment method of JVET-M0538, to enable reducing its computational complexity. Instead of computing separately all possible combinations of the DST-7 and DCT-8 along horizontal and vertical directions, it computes the DCT-2 coefficients, and exploits the properties of the DCT-2 and the adjustment matrices to compute all transform combinations simultaneously, and with significant reduction in complexity. Experimental transform throughput measurements show how the proposed methods reduces complexity.