  We argue for a relation between the supersymmetry breaking scale and the
measured value of the dark energy density $\Lambda$. We derive it by combining
two quantum gravity consistency swampland constraints, which tie the dark
energy density $\Lambda$ and the gravitino mass $M_{3/2}$, respectively, to the
mass scale of a light Kaluza-Klein tower and, therefore, to the UV cut-off of
the effective theory. Whereas the constraint on $\Lambda$ has recently led to
the Dark Dimension scenario, with a prediction of a single mesoscopic extra
dimension of the micron size, we use the constraint on $M_{3/2}$ to infer the
implications of such a scenario for the scale of supersymmetry breaking. We
find that a natural scale for supersymmetry signatures is $M={\cal
O}\left(\Lambda^{1/8}\right)={\cal O}({\rm TeV})$. This mass scale is within
reach of LHC and of the next generation of hadron colliders. Finally, we
discuss possible string theory and effective supergravity realizations of the
Dark Dimension scenario with broken supersymmetry.
