Much of the surface of the Greenland Ice Sheet is covered in a porous layer of old snow, known as firn. However, in some areas, surface melt has refrozen to form thick layers of solid ice in the upper few meters of this porous layer. It is generally assumed that once these ice slabs form, the firn can no longer absorb meltwater. Therefore, subsequent surface melt must either flow over the surface into the ocean or drain to the bottom of the ice sheet through cracks, ultimately leading to more mass loss. Here we show that in Northwest Greenland, this is not always the case. Instead, some of this water drains through shallow cracks in the ice slabs and is stored in the remaining porous firn underneath. This reduces immediate mass loss from this region and limits the amount of water that can contribute to speeding up the flow of ice. As a result, even after ice slabs form, the ice sheet may lose mass at a somewhat slower rate than previously assumed.