The 'Diamonds' singer, who is believed to have reunited with Brown after he assaulted her in 2009, apparently told friends that they "get each other" and have "fun" like the troubled former spouses, who separated in 2006.
A source told Hollywood Life: "Ri was watching Bobby and Whitney's 'Something In Common' video the other day and said, 'This is just like Chris and me. For real though, that's the type of fun we're having right now. I love Whitney. She was my girl. Can't nobody do it better than her'.
"She loves that old Whitney jam and knows that she and Chris have so much in common that just bonds them. They get each other just like Bobby and Whitney."
The alleged insider also claimed that Rihanna and Brown's relationship is "like real love" and "magical".
The 'Nobody's Business' collaborators have been more public about their relationship in recent times, with Rihanna publishing images of Brown half naked on her bed and herself wrapped in the singer's arms.
She recently launched her 'Nude' perfume wearing a Christian Lacroix choker believed to have been given to her by Brown.