  We propose a simple parametrization for the deep-inelastic diffractive cross
section. It contains the contribution of $q\bar{q}$ production to both the
longitudinal and the transverse diffractive structure functions, and of the
production of $q\bar{q}g$ final states from transverse photons. We start from
the hard region and perform a suitable extrapolation into the soft region. We
test our model on the 1994 ZEUS and H1 data, and confront it with the H1
conjecture of a singular gluon distribution.
