A transport system that reduces the amount of oscillation of the weighing platform thereby weighing mail pieces faster. A take-away nip of the weighing module is formed by a pivot arm having a roller mounted thereon and a drive roller mounted in the weighing platform. The take-away nip feeds mail pieces from the weighing platform to the subsequent module of the mailing machine. The pivot arm has a biasing mechanism with a force that results in less impact force between the pivot arm roller and drive roller when the trailing edge of each mail piece passes through the take-away nip, resulting in less vibration of the weighing platform as mail pieces exit the weighing platform. The reduction in vibration results quicker settling of the weighing platform during weighing of subsequent mail piece, allowing for faster weighing of the mail pieces, which increases the throughput of the mailing machine.