I suppose your problem is that the mashine is leaking into the bowl while not in use...? I have exactly the same problem, but didn't found any solution.
Iv'e opened the gearbox and as slim says above it's about 1/4 of a pint of jelly like grease in there... Found that strange since it's leaking oil..
Can it be that the grease is old and need to be replaced? Found the original kenwood gearbox grease on http://spares2go.co.uk for only £13 ;-)
Anchor
February 2008