An annular blowout preventer includes a body, a piston disposed within the body, and a packing unit disposed adjacent the piston. The packing unit includes an packer body surrounding an opening. The packer body is fabricated from a first material. The packing unit further includes a second material disposed between the packer body and the opening, the second material being less rigid than the first material. The packer body and the second material constrict the opening when the annular blowout preventer is actuated. The second material creates a seal around a tool disposed within the opening. The second material fills in one or more crevices or recesses on an outer perimeter of the tool.