Abstract: A fluid connector for a compression system for improving venous blood flow in a patient provides a continuous fluid passageway between a source of pressurized fluid and a plurality of inflatable chambers in an elongated pressure sleeve. The connector includes a flexible conduit comprising a plurality of elongate hollow tubes having a corresponding plurality of fittings attached at one end of the conduit. The fittings form a fluid-tight seal between the conduit and a corresponding plurality of outlet ports communicating with the source of pressurized fluid. A grip portion is provided adjacent the end of the conduit. The grip portion is releasably attached to the source of pressurized fluid and grips the conduit securely between adjacent tubes such that the fittings move freely and independently relative to the grip portion. In this manner, leakage of the pressurized fluid and contamination of the fluid stream is minimized, while stresses induced in the conduit are not transferred to the fittings.