A method accelerates the delivery of a portion of a data stream across nodes of a stream transport network. A portion of a live stream is forwarded from a first node to a second node in a transport network at a high bitrate as compared to the stream's encoded bitrate, and thereafter, the stream continues to be forwarded from the first node to the second node at or near the encoded bitrate. This technique provides significant advantages in that it reduces stream startup time, reduces unrecoverable stream packet loss, and reduces stream rebuffers as the stream is viewed by a requesting end user that has been mapped to a media server in a distributed computer network such as a content delivery network.