One of the main innovations introduced in the Versatile Video Coding (VVC) standard is the possibility to employ and combine different types of transforms for residual coding through a tool named as Multiple Transform Selection (MTS). This improved flexibility leads to a high computational cost, requiring efficient hardware designs for the transform module to achieve real-time processing. This work presents a dedicated hardware design for the MTS module. The architecture is capable of processing several block sizes and it implements all the allowed transform combinations of the MTS tool. The obtained results show that the architecture is capable of processing up to 4K@60fps videos in real time with a frequency of 279 MHz and a power dissipation of 583 mW. Also, when compared with related works, the proposed solution shows competitive results.