Thanks for the picture. I used to have the issue Bart had then I replaced the seal in my driver's side. There is a small retainer spring that is in those seals and mine was shot and this is what caused my leak. I am sure it is the same for everyone else too.
After looking more at my issue. I may have a combo. I mean it is wet down there. Its my passenger side. So its the side where the pumpkin is right there connecting to the "green cups" and diff bracket. Or the lower right side portion of the picture above.
The gasket pretty much where you circled is falling off. Looks like it is rotting away. From your post I am not 100% certain that this will be a quick in driveway job now. Are you saying to just grab some silcone in the meantime and run it along that line?