The present invention relates to a packet data communication system and is primarily intended for packet data radio communication systems, such as a GSM-system (PLMN) supporting a GPRS-service. A data frame received from a connected second packet data network (Internet) is divided into a sequence of data segments (DS). Speech packets (SPP) with an origin from a connected telecommunication network and the segments (DS) and are transmitted over a packet data link (PL1) to a radio base station (BTS) with priority given to the speech packets (SPP). The data segments (DS) shall be transmitted on a corresponding radio link (RL2) to a designated mobile station (MS). The problem is that during high traffic loads the segments are subjected to long delays and as a result no segments can be transmitted on the corresponding radio link. Giving priority to a first few data segments of the sequence when transmitted over the packet data link (PL1) solves the problem.
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