A hypodermic needle recapper, comprising a substantially planar substrate formed of a given material and having a given thickness which, in combination, cause the substrate to be substantially impervious to penetration of a hypodermic needle. The substrate defining an opening having a flexible perimeter adapted to admit a hypodermic needle cap therein and having a plurality of flexible flaps formed about a periphery of the opening so as to provide the flexibility to the perimeter of the opening. Each flap has a thickness that is less than the given thickness of the substrate.
