We present the first example of Formula omitted formulation for the extended higher-spin Formula omitted supergravity with the most general boundary conditions as an extension of the Formula omitted work, discovered recently by us (Özer and Filiz in Eur Phys J C 80(11):1072, 2020). Using the method proposed by Grumiller and Riegler, we restrict a consistent class of the most general boundary conditions to extend it. An important consequence of our method is that, for the loosest set of boundary conditions it ensures that their asymptotic symmetry algebras consist of two copies of the Formula omitted. Moreover, we impose some restrictions on the gauge fields for the most general boundary conditions, leading to the supersymmetric extensions of the Brown and Henneaux boundary conditions. Based on these results, we finally find out that the asymptotic symmetry algebras are two copies of the super Formula omitted algebra for Formula omitted extended higher-spin supergravity theory in Formula omitted.