A method and apparatus are disclosed for prioritizing logical channels when a new transmission is performed. Logical channel resources are allocated for available data to a plurality of logical channels. A maximum bit rate (MBR) credit (i.e., token) is decremented in a buffer (i.e., bucket) associated with a particular one of the logical channels by the size of a medium access control (MAC) service data unit (SDU). The MBR credit may have a negative value. If any of the allocated channel resources remain, the logical channels are served n a decreasing priority order until the data is exhausted. A radio link control (RLC) SDU is not segmented if the whole RLC SDU fits into the remaining resources. The MAC SDU excludes a MAC PDU header and MAC padding.