An apparatus and method for the automated manufacture of self-sealing inflatable dunnage bags includes a bag making machine. The bag making machine includes a plurality of sheet roll spindles and a plurality of heat sealing rollers. A first bag sheet roll is retained on a first bag spindle. A second bag sheet roll is retained on a second bag spindle. A strip bag sheet roll is retained on a strip spindle. A plurality of first openings are formed through the first bag sheet. A plurality of second openings are formed through the strip bag sheet. Each edge of the strip bag sheet is heat sealed to the first bag sheet with a first roller. A first bag roller seals an end partition across the first and second bag sheets. The edges of the first and second bag sheet are heat sealed to each other with a second bag roller.