The present invention relates to a method and device for arranging peers in a P2P network. To this end, a request is received from a peer entering the network to receive data content. Thereafter, a latency is determined with which the entering peer is to receive the data content with respect to a real-time playback point of the data content distributed by the streaming source. After the latency has been determined, the entering peer is provided with a plurality of randomly selected peers from which the requested data content can be downloaded with an expected probability depending on the determined latency. Thus, the entering peer is enabled to download, with the expected probability, the requested data content from a selected one of the randomly selected peers having a lower latency than that determined for the entering peer.