A syringe nest assembly includes a base having a first surface and an opposing second surface and a first plate movably coupled to the base. The base includes a plurality of nesting units extending upwardly away from the first surface of the base. Each nesting unit includes a hollow body having a first open end distal from the first surface of the base and an opposing second open end. The first plate has a first surface and an opposing second surface. The first plate includes a plurality of apertures extending from the first surface to the second surface of the first plate. Each aperture of the first plate is generally aligned with a respective nesting unit of the base.