The present invention is directed to a method for melting scrap of an aluminum alloy containing lithium. The steps include providing scrap containing aluminum-lithium-type alloys, preparing an initial liquid metal bed of a first composition in a smelting oven, loading the scrap onto the initial liquid metal bed so as to create a floating layer of the scrap with a controlled thickness at the surface of the liquid metal bed, partially melting the floating layer via contact with the metal bed so as to obtain a liquid metal bath having a second composition, and removing the liquid metal from the second composition of the liquid metal bath. The method has technical and economic advantages. It does not require investment in a particular installation and it requires minimal use of expensive expendable materials such as inert gas, because the formation of a floating layer having a controlled thickness makes it possible to effectively protect the surface of the liquid metal from oxidation.