The Twilight star is said to have a blossoming romance with FKA Twigs.
The British singer – whose real name is Tahliah Barnett – and Rob, who recently got very wet in the name of charity, have reportedly been going on dates together for a “month or so”.
An insider told The Sun newspaper: “It’s the real deal between Rob and Tahliah.
“They had been able to keep their relationship secret until recently, but they’ve already smitten.
“He’s been taking her on dates for the last month or so, and has even flown her out to stay with him in New York. He also loves going to her gigs.”
It is said Tahliah – who is Robert’s first serious girlfriend since his relationship with Kristen Stewart ended last summer – doesn’t want their romance to overshadow her music career, with plans to release her debut album next year.
The source added: “The main thing for Tahliah is that the relationship remains low key.
“She wants to be known for her music, not just as ‘Robert Pattinson’s girlfriend’.