  We present consistent supersymmetric theories invariant under the
generalization of the Galilean shift symmetry to ${\cal{N}}=1$ superspace.
These theories are constructed via the decoupling limit of certain
non-minimally derivative coupled supergravities, thus they correspond to the
supersymmetrization of the so-called covariant Galileon. Specifically, these
theories are constructed in the linearized ${\cal{N}}=1$ new-minimal
supergravity set-up where the chiral supermultiplet is minimally coupled to
gravity via the standard R-current contact term, and, at the same time,
non-minimally derivatively coupled to the Einstein superfield.
