Methods and apparatus for suspending session state during hybrid network operation. In one exemplary embodiment, a cellular device uses a single-radio solution to support circuit-switched calls on a CDMA 1× network and packet-switched calls on LTE. Periodically, the cellular device tunes away from LTE and monitors CDMA 1× activity, and vice versa. During these tuned-away periods, the client device may suspend operation on the tuned away network for extended tune away intervals.