The non-localizable WSN in the initial deployment is focused upon, and a fine-grained distributed localization-oriented adjustment approach, named as LODA, is proposed. LODA decides the strategy of the node based on the path information to achieve the network localizability in an initially non-localizable network. Compared with the current network adjustment approaches, the approach proposed merely adjusts less than 11% nodes in a sparse network to achieve localizability, which is about 40% better than the current best approach. Besides, the algorithm in a distributed manner is designed to balance the communication load caused by the adjustment. Therefore, the scalability limitation in the previous centralized approaches is overcome. Extensive simulation results show that our approach outperforms the previous method in adjustment efficiency.