A drawer system includes a drawer (22) and a drawer cover (24). The drawer (22) can include an open top and be configured to be supported at a supporting structure, such as a refrigerator fresh food compartment for example, for selective sliding movement outwardly from the supporting structure and sliding movement inwardly toward the supporting structure. The drawer cover (24) can be configured to be mounted at the supporting structure in engagement with the drawer (22) at the open top of the drawer (22) for movement directly vertically upwardly at the supporting structure away from the open top of the drawer (22) when the drawer (22) is moved outwardly from the supporting structure and for movement directly vertically downwardly at the supporting structure toward the open top of the drawer (22) when the drawer (22) is moved inwardly toward the supporting structure.