The 24-year-old singer has booked a plush five-star villa on the exclusive Gold Coast area of the tropical island for a "bonding holiday", and Brown's mother is also invited.
Rihanna hopes Brown, who left her battered and bruised in a vicious assault in 2009, will be able to convince her close circle that he's a changed man, reported Sun online.
The 'Diamonds' hitmaker wants to persuade them that despite fierce criticism she was right to take him back.
"The more the public criticise Rihanna for getting back with Chris, the more determined she is to do whatever she wants.
While no one else can understand it, she's convinced that Chris is the love of her life and her soulmate and that they're simply meant to be together," said a source.
"They're unrepentant and they want to show the whole world that they've moved on from what happened in 2009."
Brown, 23, was forced to close his Twitter account on Monday following a bitter online spat with US comic Jenny Johnson. She had previously criticised him for his treatment of Rihanna.
Brown has already been forced to cancel a gig in Guyana on Boxing Day after protests from women's rights groups.