The present invention concerns an adaptive streaming method, at a client device, for receiving content split into chunks corresponding to a content duration, the chunks being encoded at a server into at least a first and a second formats, the first format corresponding to a better content rendering quality level than the second format, a chunk being received during a chunk reception period. According to the invention, the method comprises the steps of measuring the available bandwidth between the client and the server for the next chunk reception period, requesting the server to send a chunk encoded at a format so that the chunk can be received during the next chunk reception period, and if some bandwidth is available for the next chunk reception period, requesting the server to send a part of a chunk encoded at a second format, the chunk having been received encoded at the first format.