  We analyse the current status of the dilaton domination scenario in the MSSM
and its singlet extensions taking into account the measured value of the Higgs
mass, the relic abundance of dark matter and constraints from SUSY searches at
the LHC. We find that in the case of the MSSM the requirement of a dark matter
relic abundance in accord with observation severely restricts the allowed
parameter space, implying an upper bound on the superpartner masses which makes
it fully testable at LHC-14. In singlet extensions with a large singlet-MSSM
coupling $\lambda$ as favoured by naturalness arguments the coloured sparticles
should again be within the reach of the LHC-14, while for small $\lambda$ it is
possible to decouple the MSSM and singlet sectors, achieving the correct dark
matter abundance with a singlino LSP while allowing for a heavy MSSM spectrum.
