A vacuum insulated structure includes a first cover member of a stamped unitary sheet defining a perimeter portion positioned at a first planar level and a reinforcing member formed in the interior sheet extending to a second planar level spaced axially outward and disposed radially inward of the perimeter portion. The vacuum insulated structure also includes a second cover member and a thermal bridge interconnecting the first cover member and the second cover member at the perimeter portions thereof to define an insulating cavity therebetween. The insulating cavity is a sealed cavity having a vacuum drawn therefrom, and the first reinforcing member is configured to reduce deformation of the first cover member in at least an area adjacent the reinforcing member and to define a portion of a path for air flow out of the sealed cavity during a vacuum draw process.