A method is provided for delivering two or more concurrent streaming media sessions to client devices. In the method, a request is received from a client device to establish a new streaming media session while one or more ongoing streaming media sessions is in progress. A determination is made if resources are available to fulfill the request. When one or more resources needed to fulfill the request are unavailable, a response to the request is provided in accordance with a pre-established prioritization scheme that gives priority to either delivery of a total number of concurrent streaming media sessions or a quality level of the concurrent streaming media sessions being delivered.