Apparatus, and an associated method, for utilizing traffic classes in a CDMA2000, or other packet radio, communication system. Traffic class designations are identified and used pursuant to communication set-up procedures. Depending upon the class identified in the request, allocations of communication resources are made. A traffic class signal generator generates values that identify a requested traffic class, and a formatter formats the traffic class into a message, such as a QoS BLOB that is used to allocate communication resources.