The limitation of network resource reduces the awareness capability of CVE system, which becomes the main bottleneck for applications in Internet. In this paper, we study the relationship between the awareness capability of system and network parameters, such as latency, jitter, and data loss rate; also, according to the features and preferences of user awareness, a network-statusbased solution is proposed for self-adaptable awareness scheduling. Moreover, the scheduling algorithm is implemented and verified by a prototype system, results from which indicate that awareness scheduling is useful for decreasing the loss of the awareness capability of system in a limited or unstable network.