In this paper, we introduce and investigate some weak soft separation axioms by using the notion of supra semi open soft sets. We study the relationships between these new soft separation axioms and their relationships with some other properties. As a consequence the relations of some supra soft separation axioms are shown in a diagram. We show that, some classical results in general supra topology are not true if we consider supra soft topological spaces instead. For instance, if (X,m,E) is supra soft semi T1-space need not every soft singleton xE is supra semi closed soft.