The packages described by this invention all have reduced “head space,” that is, the distance from lid to lens. Packages contain dimples to achieve this reduced head space. Specifically, packages are designed with dimple sag equal to or less than 1.90-mm, or volume displaced equal to or less than 360 μl. Combined with the existing primary packaging, it has been found that such conditions provide for reduction in folded lens rate during shipping and handling. As well, lenses stored or having an extended time in low head space packages in a “foil down” orientation now have characteristics closer lenses stored in a “foil up orientation”.