Disclosed is a self-expanding cannula, systems using such cannulae, and methods of their use. The cannulae may comprise single lumen cannula (SLC) configurations and double lumen cannula (DLC) configurations, and include at least a first cannula and a self-expanding wire frame attached to the first cannula. Self-expanding wire frame is automatically expandable from a compressed state (providing a reduced cannula diameter as it is moved through a patients body to the site at which it is to be deployed) to an expanded state (which increases the diameter of the cannula to the diameter intended for its normal use). The expanded wire frame provides radial support to prevent a drainage canal (whether a patients blood vessel or a portion of the system inserted into the patients blood vessel) from collapsing as fluid is drained from the patient.