  The diffuse Galactic gamma-ray background, as observed with EGRET on CGRO,
exceeds the model predictions significantly above 1 GeV. This is particularly
true for the inner Galaxy. We shall discuss here the contribution of the
Galactic Cosmic Ray (GCR) sources, considered as unresolved, and in addition
the possibility that the transport of the GCRs out of the Galaxy is not uniform
over the Galactic disk. In both cases the spectrum of the diffuse gamma-rays is
harder than the GCR spectrum in the neighborhood of the Solar system, as
observed in situ. The source contribution is a necessary and, as it turns out,
significant part of the diffuse background, whereas the transport effect is one
of several conceivable additional causes for the hard diffuse gamma-ray
spectrum observed.
