Here is the possible solution. The incoming water goes through the valve and then to the black hose going up on the left side of the dishwasher, the hose goes up then bends and it's end is just inserted on some kind of pocket. I think the end of the hose in your dishwasher just looseened and it spills water from this pocket. To fix it you need to pull the dishwasher just a little bit from under the countertop, (make sure to unsrew 2 screws up there) until you get access to the hose and then insert it deeper in the pocket. I would also attach the hose to the side of the dishwasher with the duct tape.
Pavel Denau, January 2009