Actually, there are no panniers under the cover in the picture but it did stretch over the Pelican cases on my DR650 so I think it will also fit over Pelican cases on the Versys. A givi top case sticks up and back quite a ways so I'm not sure it would fit over them but I think it may just make it. I'm sure a larger size would fit but I would go with the smallest possible so it doesn't get blown all over the place in windy conditions. There are 3 sizes available and mine is the smallest. They have "Sport", "Cruiser" and "Touring" versions. Actually, the advertisement gives the dimensions so you can measure prior to ordering. That's what I did.