A device and method for aspirating graft tissue and delivering the graft tissue to a target delivery site (for example, when performing Descemet's membrane endothelial keratoplasty). In one embodiment, an injector comprises a cylinder and a plunger at least partially located within the cylinder, the plunger being rotatably advanceable and retractable within the cylinder. In one aspect of the embodiment, rotating the plunger in a first direction within the cylinder controllably aspirates a graft tissue into the injector and rotating the plunger in a second direction opposite the first direction controllably ejects the graft tissue from the injector.