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In a content distribution network based on overlay networks, the peer's upload bandwidth is always constrained. To optimize the system performance, one problem is how to assign the upload capacity to the right neighbors for transferring data blocks. In a system using network coding technology, a strategy which is to select the right neighbors based upon the degrees of them is proposed. The selection probability of each neighbor is determined by its degree. After. this strategy is applied, the utilization of network is improved, and the distribution progress is shortened. From the simulation, we found that the performance of content distribution is obviously better than the baseline system on three metrics, including maximum finish time, average finish time and standard deviation.