In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X. For a Hausdorff space X we denote by 2X the family of all closed subsets of X. We investigate selection properties of the bitopological space (2X, ∆+1,∆+2)where∆+i is the upper ∆i-topology for each i = 1, 2. © AGT, UPV, 2023.