A method for tamping media during transportation is disclosed. Multiple parallel beltsets lie between an inlet station(s) and a delivery station(s). The multiple parallel beltsets have one or more parallel belts, a motor connected to drive the beltsets, and multiple pushers attached to the belts of the beltset with the pushers of one beltset placed between the pushers of the adjacent beltset. A control module coupled to the motors accepts a set of instructions and controls tamping of the media stack during transportation. The control module varies the velocity of one of the beltsets relative to the adjacent beltset and adjusts the distance between successive pushers on the beltsets to accept media or to tamp media during transportation.