A packaging material handling device is disclosed. The device includes a first pair of traction members configured for cooperatively engaging a chain of pre-inflated pillows from opposite sides thereof and being operable for driving the chain in the flow direction. The device further includes a second pair of traction members configured for cooperatively engaging the chain from opposite sides thereof. The second pair of traction members are spaced apart from the first pair of traction members along a flow direction and are operable for driving the chain in the flow direction. The first and second pairs of traction members are operable for holding the first and second portions of the chain during a breaking operation. The device further includes a breaking member disposed between the first and second pairs of traction members and movable against the chain across the flow direction in the breaking operation to break the chain for detaching the first portion from the second portion.