  In this paper we analyze the asymptotic symmetries of the three-dimensional
Chern-Simons supergravity for a supersymmetric extension of the semi-simple
enlargement of the Poincar\'e algebra, also known as AdS-Lorentz superalgebra,
which is characterized by two fermionic generators. We propose a consistent set
of asymptotic boundary conditions for the aforementioned supergravity theory,
and we show that the corresponding charge algebra defines a supersymmetric
extension of the semi-simple enlargement of the $\mathfrak{bms}_{3}$ algebra,
with three independent central charges. This asymptotic symmetry algebra can
alternatively be written as the direct sum of three copies of the Virasoro
algebra, two of which are augmented by supersymmetry. Interestingly, we show
that the flat limit of the obtained asymptotic algebra corresponds to a
deformed super-$\mathfrak{bms}_{3}$ algebra, being the charge algebra of the
minimal Maxwell supergravity theory in three dimensions.
