Deflection routing is a much-studied contention resolution technique in the context of Optical Burst/Packet Switching networks, as it promises to improve burst blocking performance and may reduce or even eliminate buffer requirements. An OBS-based Grid is frequently based on anycast routing, which holds even greater potential to use the deflection technique for successful delivery of Grid jobs. As such, we propose an extension to deflection routing whereby jobs are rescheduled, to improve job blocking probabilities under various traffic parameters. We present a case study and perform simulation analysis to demonstrate the effectiveness of our proposal.