An elastic venous compression orthosis indicated in cases of vein disorders of a lower limb of a patient, the lower limb having an ankle, a calf and a thigh, the orthosis having an ankle part for enclosing the ankle and a calf part for enclosing the calf, the orthosis having a textile pressure profile such that the textile pressure measured at the ankle is less than 10 mmHg, and the textile pressure measured at the calf is less than 35 mmHg and greater than 25 mmHg.