A wearable system for performing purifying therapies on organic fluids with the use of extracorporeal circuits includes a clothing article wearable by a patient, in which at least one disposable extracorporeal circuit is removably housed. The wearable clothing article has a line for drawing, from a patient drawing point, organic fluid to be purified, and a line for returning, to a patient infusion point, purified organic fluid. A filter is included for filtering the organic fluid to be purified, arranged between the drawing line and the return line. A first pump is provided for pumping, along the extracorporeal circuits, the organic fluid to be purified and the purified organic fluid. A means for collecting and storing fluid residues filtered from the organic fluid to be purified, is connected to the filter via a collection line. The extracorporeal circuit includes an anti-thrombogenic covering.