  The deformed supersymmetric sine-Gordon model, obtained through known
deformation of the corresponding potential, is found to be quasi-integrable,
like its non-supersymmetric counterpart, which was observed earlier. The system
expectedly possesses finite number of conserved quantities, leaving-out an
infinite number of non-conserved anomalous charges. The quasi-integrability of
this supersymmetric model heavily rely on the boundary conditions of the
potential, otherwise rendered to be completely non-integrable. Moreover,
interesting additional algebraic structures appear, absent in the
non-supersymmetric counterparts.
