The invention relates to an elastic venous compression orthosis having a toppart and aleg part,the top part (18) and the leg part (13) having a top part knit thread and legpart knitthread, respectively, defining a network of knitted meshes, and a top partweft threadand 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 ofthetop part weft thread are made of elastane, and- the core of the top part weft thread has a linear density of less than 0.7times thatof the core of the leg part weft thread.
