An apparatus for enhancing blood flow through a limb of a subject includes a compression sleeve extendable around the subjects limb and having a plurality of compressors situated next to one another along the sleeve. In use, the compressors compress the limb in sequence to move blood within the limb from one end of the sleeve to the other. In particular, as a said compressor begins to compress the limb, the compressor preceding it in sequence already compresses the limb, and the next preceding compressor in sequence ceases to compress the limb.