In this paper, we define the fuzzy soft operator $$\;\phi \;$$ constructed from a fuzzy soft grill $$\;\mathcal {G}_{_{E}}\;$$ and a fuzzy soft topological space $$(X, \tau _{_{E}}).$$ Also, we introduce and study the notion of connectedness to fuzzy soft topological spaces with fuzzy soft grills. Furthermore, we extend the notion of $$\alpha $$ -connectedness related to a fuzzy soft operator $$\;\alpha \;$$ on the set X.