A self-contained dispenser apparatus configured to dispense a continuous feed of plastic bag material wound in a coreless roll thereof. The dispenser apparatus includes a base portion defining an opening into a receiving bay thereof. A cover assembly is removably mountable to the base portion, and includes an end cover portion positioned over the opening to enclose the coreless roll therein. A dispensing slot extends through the end cover that enables one end of plastic bag material to continuously feed therethrough. The cover assembly further includes a cutting assembly positioned proximate the dispensing slot to enable severing of the plastic bag material.