  The geometric scaling property observed in the HERA data at small x, that the
deep inelastic scattering (DIS) total cross-section is a function of only the
variable Q^2*x^\lambda, has been argued to be a manifestation of the saturation
regime of QCD and of the saturation scale Q^2_s(x) x^{-\lambda}. We show that
this implies a similar scaling in the context of diffractive DIS and we
observe, for several diffractive observables, that the experimental data from
HERA confirm the expectations of this scaling.
