Fault-tolerant mobile computing systems have different requirements and restrictions, not taken into account by conventional distributed systems. This paper presents a coordinated checkpointing scheme which reduces the delay involved in a global checkpointing process for mobile systems. A piggyback technique is used to track and record the checkpoint dependency information among processes during normal message transmission. During checkpointing, a concurrent checkpointing technique is designed to use the pre-recorded process dependency information to minimize process blocking time by sending checkpoint requests to dependent processes at once, hence saving the time to trace the dependency tree. Our checkpoint algorithm forces a minimum number of processes to take checkpoints. Via probability-based analysis, we show that our scheme can significantly reduce the latency associated with checkpoint request propagation, compared to traditional coordinated checkpointing approach.