Method, and associated apparatus, for operating a hybrid access terminal operable in a CDMA 1x/EVDO hybrid communication session system. The hybrid access terminal is operable to communicate pursuant to an EVDO communication session and to a PPP communication session. The opening and closing of the communication sessions are independent of one another. Opening of one session does not require opening of another of the sessions. And, closing of one of the sessions does not require closing of the other of the sessions.