A method for reducing current drain in a communication device includes a first step of developing a history of readings of received signal strengths (RSS) of a neighboring broadcast control channel (BCCH). A next step includes monitoring a RSS of the neighboring channel during a wakeup period. A next step includes determining whether the RSS is substantially stable with respect to the history of readings. A next step includes skipping the monitoring of the RSS for at least one of the subsequent wakeup periods if the RSS is substantially stable with respect to the history of readings.