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Source privacy preservation against global eavesdroppers' traffic analysis attack is one of the most challenge issues in wireless sensor networks. In this paper, we present a new timed efficient source privacy preservation (TESP2) scheme. In the TESP2 scheme, each sensor node broadcasts timed data collection request to its upstream nodes, and then each upstream node will return the real data's ciphertext if it has detected something, or a dummy data's ciphertext if it hasn't. After receiving ciphertexts from upstream nodes, the sensor node will filter the dummy data, re-encrypt and forward the real data's ciphertexts to its downstream node to achieve the source privacy preservation. Security analysis and extensive simulation results demonstrate the proposed TESP2 scheme can resist the traffic analysis attack and achieve high source privacy preservation with some tolerant latency.