We present the theory describing supersymmetrical vortices in the curv
ed superspace of the (1, 0) supergravity. The action is defined as a (
1, 0) locally supersymmetric SU(2)/U(1) coset perturbed by the cosmolo
gical constant-like term. The perturbation is such that it preserves t
he integrability of the coset model. Because of supersymmetry the pert
urbed theory is an exact quantum system provided a proper dilaton is t
aken into account. The exact value of the dilaton is determined in the
supersymmetric case by the quasi-classical background of the bosonic
coset.