Why is this true? It's not a natural condition. The natural condition of a free market is an equilibrium between supply and demand. If you have excess supply, it means the market is not at equilibrium, which means either (a) it's in transition because of some recent change (not likely since the oversupply of low-end labor has been around for quite a while), or (b) the market is not free--something is skewing the supply-demand balance. The obvious candidate for that is...existing minimum wage laws.
> The minimum wage is just a needed correction for this oversupply of labor
Raising the minimum wage will not "correct" the oversupply of labor; it will make it worse. There will be more people wanting jobs, and businesses will be able to afford fewer of them.