  We examine in a cosmological context the conditions for unbroken
supersymmetry in N=1 supergravity in D=10 dimensions. We show that the
cosmological solutions of the equations of motion obtained considering only the
bosonic sector correspond to vacuum states with spontaneous supersymmetry
breaking. With a non vanishing gravitino-dilatino condensate we find a solution
of the equations of motion that satisfies necessary conditions for unbroken
supersymmetry and that smoothly interpolates between Minkowski space and
DeSitter space with a linearly growing dilaton, thus providing a possible
example of a supersymmetric and non-singular pre-big-bang cosmology.
