An elastic venous compression orthosis having 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, each weft thread having a core which is covered by means of a covering thread, the orthosis being characterized in that the core of the top part weft thread and the one or more covering threads of the top part weft thread are made of elastane, and the core of the top part weft thread has a linear density of less than 0.7 times that of the core of the leg part weft thread.