The invention relates to systems and methods for covering portions of one or more block members after laying of the block members to allow filling of hollow cores in the block members with filler materials. A cover member prevents the filler materials from entering into channels or apertures covered by the cover member. A cover member has a top section and a downwardly depending member extending from the top section. The downwardly depending member extends into a portion of the block, and may engage with the block member to retain the cover member in position.