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As wide applications of wireless sensor networks, privacy concerns have emerged as the main obstacle to success. When wireless sensor networks are used to battlefield, the privacy about sink-locations become a crux issue. If sink location will be exposed to adversary, the consequence is inconceivable. In this paper, a scheme based on local flooding of source and greedy random-walk of sink is proposed to protect the location privacy of mobile sinks in sensor networks. In this scheme, sensor do not know any information about sink-location, data are forwarded by local flooding and stored at pass nodes in the network, the sink move in greedy random-walk to collect data from the local nodes occasionally, which prevents the attackers from predicting their locations and movements. The analysis shows that the scheme can provide location privacy of mobile sinks effectively, while providing satisfactory data collection services.