An elastic venous compression orthosis has a top part and a leg part, the top part and the leg part having a top part knit thread and leg part knit thread, respectively, defining a network of knitted meshes, and a top part weft thread and leg part weft thread, respectively, the orthosis being characterized in that the top part has a reinforcement thread with an elongation at break, measured according to DIN 53834, of below 40% and a linear density of over 30 dTex.