The growing demand for Internet connection rapid growth increases the number of processed data flows. Connection admission control (CAC) policies realized by network operators require selective and priority-based connection processing strategy. An existing CAC solutions do not provide the ability to analyze multiple connection requests for the same decision-making moment, therefore lacks a comparative assessment among closely following requests and the current CAC together with DiffServ solution allows to realize only packet-level priority-based admission control. In this paper we argue that it is necessary to change new connection processing mechanisms of existing CAC solutions enabling comparison among concurrent sessions, as result, to realize session-level priority-based admission policy. Analysis of session-level Internet traffic demonstrate that lifetime of around 80% of flows is 3 – 6 seconds and the high intensity of new connection requests is one of the preconditions that allowed to offer a new approach to admission control solution for high-speed (gigabit) internet links. An experimental prototype of proposed admission control was realized on router available in the INET framework, by creating an experimental prototype for evaluation in the OMNeT++ simulation environment. The results show that the selectivity and choice possibilities in decision-making contribute to approval of different type of sessions and provide a strong ability to realize the priority-based management policy if compared with existed CAC approaches.