Abstract: A non-resealable package for wet wipes has a base layer and a flexible top layer which overlays a stack of wet wipes and is sealed to the base layer, and a slit is formed in the flexible top layer along one side of the stacked lateral edges of the stack near a topmost-lying one of the wipes. The top layer is made of a selected flexible material and the slit is positioned and cut with a selected length such that opposing slit ends of the flexible top layer can be pushed apart by a user with fingers of one hand while keeping evaporation of solvent or fluid to a low level. In one version, the slit is simply cut through the top layer and closed with a membrane and adhesive-coated covering for shipping and storage. In another version, a reinforcing layer of greater thickness or stiffness is adhered to the top layer around the slit so that the slit edges tend to resume their initial positions and realign to minimize the open area of the slit when the user's fingers are withdrawn.