In this paper, we propose a new method for reducing the elapsed time and the number of messages used in the data reconstruction process of distributed storage systems based on erasure codes through managing TCP connections in case of congestion. The data reconstruction process using the new method and one not using such management of TCP connections are both implemented in the network simulation environment. According to the simulation results, the new method requires less time and fewer messages for data reconstruction in case of congestion as compared to the data reconstruction process without such control frame.