Abstract: The present invention provides a therapeutic limb covering and an associated method of treating chronic swelling of a limb. The limb covering is uses hydrostatic pressure provided by liquid contained within the covering to apply pressure to the limb. The limb covering comprises a substantially non-distensible flexible outer layer, a distensible flexible inner layer joined together and a liquid tight bladder therebetween. The covering may be adapted for releasable securement about a limb such as an arm or a lower leg and foot of a patient. After placement on the limb, when the bladder is filled with a liquid, such as water, it expands to contact and apply pressure to the limb.