The wetting of thin Ag films on Cu͑111͒ is characterized in detail with angle-resolved photoelectron spectroscopy. After constructing disordered Ag films on Cu͑111͒, we monitored the evolution of their layer-resolved Shockley states during wetting. Our results provide the first observation of a transitional state, which implies a coexistence of clean Cu͑111͒, 1 ML of Ag on Cu͑111͒, and 2 ML of Ag on Cu͑111͒. The evolution of these Shockley states indicates a two-process model of wetting.