An apparatus (40) for enhancing blood flow through a limb of a subject includesa compression sleeve (41) extendable around the subject’s limb and havinga plurality of compressors (43-48) situated next to one another along the sleeve(41). In use, the compressors (43-48) compress the limb in sequence to move bloodwithin the limb from one end of the sleeve (41) to the other. In particular, as asaid compressor (43-48) begins to compress the limb, the compressor (43-48)preceding it in sequence already compresses the limb, and the next precedingcompressor (43-48) in sequence ceases to compress the limb.