In this paper, we consider remote state estimation. A sensor locally processes its measurement data and sends its local estimate to a remote estimator for further processing. Due to the limited communication resources, the sensor can only communicate with the estimator for a pre-specified number within a given horizon. We propose a hybrid sensor data schedule which introduces an event-triggering mechanism on top of an optimal offline sensor schedule. This hybrid schedule, having a small implementation cost, leads to a smaller estimation error at the remote estimator when compared with the optimal offline sensor schedule.