A method and system for avoiding missed tuneaways from a first wireless link configured according to a first protocol to a second wireless link configured according to a second protocol. An access network providing the first wireless link may receive, from one or more of a group of hybrid access terminals assigned to given cycles/timeslots of the first wireless link, reports of missed tuneaways from the first wireless link to the second wireless link. Based on the received reports, the access network may determine that the group of hybrid access terminals (or a given one of the group) has missed a threshold extent of tuneaways. In response, the access network may decide to reduce an amount of control-channel data to send on the first wireless link during the given cycles/timeslots and then begin to send a reduced amount of control-channel data on the first wireless link during the given cycles/timeslots.