The Barbarians are to take on Australia at Twickenham in November after this year's World Cup.
The invitational side have beaten New Zealand and world champions South Africa in recent years.
And they will be looking to complete a clean sweep of victories over the Tri-Nations sides when they take on the Wallabies on Saturday 26 November.
Barbarians' president Micky Steele-Bodger said Baa-Baas matches "capture everyone's imagination".
Steele-Bodger said: "Our autumn matches at Twickenham against international touring sides are invariably one of the highlights of our season.
"Our two most recent games there have been great spectacles and the victories over the All Blacks and Springboks have captured everyone's imagination."
Steele-Bodger also says he expects the Barbarians to field a strong side despite the match coming so soon after the World Cup.
"Our fixture against Australia next November provides us with a unique opportunity to complete an historic hat-trick, so once again we will be inviting world-class stars to make up our team", he commented.