In this paper, an enhanced burst assembly mechanism, utilizing the offset time effectively for assembling the incoming packets, is proposed for optical burst switched (OBS) networks. The channel utilization, end-to-end delay and packet transmission rate of proposed burst assembly method are compared with those of existing burst assembly methods. A hybrid signaling scheme is used to implement the proposed burst assembly. The performance of hybrid signaling is compared with existing signaling schemes. However, Just Enough Time (JET) signaling gives better performance than the hybrid signaling scheme. Therefore, a prediction technique is incorporated to use JET signaling scheme in the proposed burst assembly method. The prediction error occurring in this method is calculated and the average number of contentions encountered in the proposed burst assembly method is determined.