The former couple split in 2009 when Brown assaulted Rihanna on the eve of the Grammy Awards. The 'Umbrella' singer subsequently sought refuge with mentor and friend Jay-Z.
However, rumours that the pair are secretly dating again - which intensified when the track was released alongside a remix of Brown's 'Turn Up the Music' - have allegedly disappointed Jay-Z.
"Jay was absolutely disgusted by what Chris did to Rihanna. Jay doesn't understand how a man could ever lay hands on a woman; it just goes against who he is and [what he's] about. Chris is absolutely dead to Jay, he wants nothing to do with him ever," a source told Radar Online.
"Now that Rihanna is hooking up with Chris and recording songs with him, Jay is deeply disappointed in her actions. He can't fathom why Rihanna is doing the things she is doing. He understands the need for forgiveness, but he is adamant that Rihanna shouldn't forget what Chris did to her.
"Jay wonders what kind of message this is sending to Rihanna's young female fans. Rihanna knows how Jay feels about Chris, but she doesn't care, she is going to do what she wants.
"[Since daughter Blue Ivy's birth] he is even more protective of the women in his life. Jay has told Rihanna he will never give his blessing for what she is doing with Chris. He has told her this isn't going to end well, it never does. In Jay's opinion, Chris has rage issues that he doesn't think have been dealt with."
Jay-Z was previously said to be unhappy with Kelly Rowland's decision to go on tour with Brown.
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Listen to Rihanna and Chris Brown's 'Birthday Cake' below: