A contract notice on Merx, a procurement site, noted the government is seeking to use a message and documentation classification system that is authored by Titus.
The $135,000 tender, to be awarded no later than March 31, includes one year of maintenance and support services with the option to extend the contract for four periods of one year each.
"The software product ... is the only one that meets all the mandatory requirements," the notice stated.
"Titus Inc. is the author of the software in question, and the only company that can deliver on the contract due to exclusive proprietary rights."
Other firms who believe they can meet the requirement must respond to the notice no later than March 9, it stated.
When contacted by OBJ, Titus declined to comment directly on the contract.
The company is a multiple winner of OBJ's Employees' Choice Awards.
In January, while speaking about its 2012 award, Titus CEO Tim Upton noted there has been more civilian interest in the company's technology after years of an emphasis from the defence sector.
Several high-profile security failures have convinced companies that human-monitored software is the way to go, he said at the time.
"People are tired of trying to automate everything," he added.
"The analogy I use is the automation in cars, where some of the new cars have this ability to stop the car, jam the brakes, and those things are fantastic. They can save a life. But when those things go wrong, it's devastating."
