Abstract: The method comprises the following steps: a) enveloping the limb (22), over a length corresponding at least to the length of the orthosis (18), in a flexible sleeve (10) of material having a low coefficient of friction and great strength in traction and resistance to tearing, the limb possibly having dressings or bandages present thereon; b) the orthosis is put on over that portion of the limb which is enveloped by the sleeve, with this being performed manually, causing the orthosis to slide over its entire length on the sleeve interposed between the orthosis and the limb; and c) once the orthosis has been put on and put into place, the interposed sleeve is extracted by traction, the sleeve sliding between the orthosis and the limb which then come mutually into contact as the sleeve is extracted.