A wireless device constructs a message that includes a representation of a time-to-disconnect, and then transmits the message over a carrier network to a receiving computing system. The time-to-disconnect indicates a time beyond which the receiving computing system should not send a response to the message (or any other message) using the temporary network address that was assigned to the wireless device at the time the message was transmitted. The wireless device attempts to stay connected to thereby retain that address until the time-to-disconnect expires. When the response is ready to send back, if the time-to-disconnect has not yet expired, the response is sent to the wireless device using the same network address that the wireless device had at the time the original message was sent. Otherwise, if the time-to-disconnect is exceeded, then the receiving computing system does not attempt transmission of the response using that network address.