Business applications are evolving on the Internet from centralised to distributed architectures demanding higher quality group communication facilities. Such communications are often time sensitive and prone to disruptions or unacceptable latency because of the high variability of Internet traffic and capacity across the network. Self-aware networks offer mesh networking facilities with adaptive routing able to cope with changes in network conditions, such as variations in traffic load and link or node failure. Further quality improvement can be achieved by relaying critical application tasks to software agents able to migrate to alternate hosts and take advantage of new location facilities for their communications. The paper examines the concurrent use of self-aware networking and software agent mobility to offer improved communication facilities to time-critical group communications. A host selection algorithm for agent migration is proposed to find suitable locations for agents and evaluated in a simulation study.