  We give predictions for diffractive heavy flavour production at the Tevatron
and the LHC in leading--order approximation. In the framework of these studies
we use three different models for the partonic structure of the Pomeron
recently proposed by Stirling and Kunszt. These Pomeron models are, despite
being fitted to the same diffractive deep inelastic HERA data, very different
in their parton content and taken together provide a powerful tool to probe the
structure of the Pomeron. All models satisfy GLAP evolution and show a
significant $Q^2$ dependence. We give numerical predictions for single as well
as double diffractive cross sections assuming a Donnachie--Landshoff--type
Pomeron flux factor.
