There is provided a method for wrapping a load comprising an upper portion defining an upper peripheral surface and a lower portion defining a lower peripheral surface. The method includes configuring a first material dispenser including a first material web in a first starting position and a second material dispenser including a second material web in a second starting position. The method includes and providing a rotation between the load and the material dispensers, such that, upon the rotation, the first material dispenser wraps the upper peripheral surface of the load with the first material web and the second material dispenser wraps the lower peripheral surface of the load with the second material web. The first material dispenser wraps the upper peripheral surface of the load simultaneously while the second material dispenser wraps the lower peripheral surface of the load during at least a portion of a wrapping cycle.