In a processing system including a plurality of graphics processing units (GPUs), the GPUs transfer compressed graphics streams composed of blocks of graphics data to one another. Some blocks of a compressed graphics stream, or parts thereof, may contain both compressed graphics data and meaningless data (referred to as data structure padding, or padding) that is used to align the graphics data, and some blocks may contain only padding. Before transferring a compressed graphics resource from one GPU to another GPU, the sending GPU compacts the compressed graphics resource by filtering out padding from the compressed graphics stream prepared for the transfer.