The ornamental design of this invention is a domed inner cover for a container. The dispensing opening within the domed inner cover comprises a flexible material with one or more slits through which sheets, such as wet wipes, are dispensed. The domed inner cover is preferably pitched slightly toward the front of the container and with an oval-shaped window of a flexible material having a star-shaped slit configuration.

FIG. 1 is a perspective view of a domed inner cover for a container showing our new design.

FIG. 2 is a top view of the domed inner cover for a container.

FIG. 3 is a bottom view thereof.

FIG. 4 is a left side view thereof.

FIG. 5 is a right side view thereof.

FIG. 6 is a front view thereof; and,

FIG. 7 is a rear view thereof.

Phantom lines depict the environment and form no part of the claimed invention illustrated.