A technique for use in a client, wherein the client supports a state-based signaling protocol (e.g., Session Initiation Protocol or SIP), includes initiating a given session state between the client and a server that also supports the state-based signaling protocol, and refreshing the given session state in a randomized manner. Further, a technique for use in a server, wherein the server supports a state-based signaling protocol (again, e.g., SIP), includes randomly assigning an expiration time duration for a given session state between the server and a client that also supports the state-based signaling protocol, and reporting the randomly assigned expiration time for the given session state to the client. By randomizing various behaviors of the client, the server, or both, bursty traffic in the communication network is reduced or eliminated.