Source: Rihanna hooking up with rapper Travis Scott

Meet the new man in Rihanna's life!

The 27-year-old superstar attended Travis Scott's show in New York City on Wednesday -- her third night in a row taking in a concert by the 23-year-old rapper/producer -- and a source tells ET the two are definitely hooking up.

"They are not exclusive, but could become that," the source says, adding that their relationship has been going on for less than a month. "They both are enjoying time together."

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Rihanna has attended each one of Scott's sold-out shows at the Gramercy Theatre in New York this week, and hasn't even tried to hide her enthusiasm for her new squeeze.

"Something is definitely going on with those two," another source tells ET. "She was sitting in the VIP section and was singing and dancing along to all his songs. She looked like she was having a great time."

Covering up in an oversized camouflage jacket, Rihanna was snapped exiting Scott's concert on Wednesday after the pair spent three hours together backstage, heading to nightclub No. 8. "They were all over each other inside the club," our source adds.

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And it's not just concerts and nightclubs for the couple, they've also been enjoying dinner dates. On Monday, the two had dinner at The Spotted Pig before heading over to Griffin nightclub, and on Tuesday night, they dined at La Esquina before heading to Up&Down club where Scott had a private event. The shindig was quite the star-studded affair, with Justin Bieber and Kris Jenner's boyfriend, Corey Gamble, in attendance.

So, just who is the rapper that managed to snag the A-list superstar? Hailing from Houston, Texas, Scott signed with Kanye West's GOOD MUSIC label in 2012 as a producer, before signing with rapper T.I.'s Grand Hustle Records in April 2013. He's collaborated with Rihanna before -- producing her hit, "Bi**h Better Have My Money" -- and is currently working on her highly anticipated new album. After previously releasing two popular mix tapes -- Owl Pharaoh and Days Before Rodeo -- he finally released his debut album, Rodeo, last Friday.

Rihanna showed her support for him last Sunday, Instagramming about picking up his new CD.

"Finally!!!!! Got my hard copy of #RODEO," she wrote, next to a shot of her at Amoeba Music record store in Los Angeles.

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ET caught up with Rihanna late last month at the NYC launch of her new fragrance, RiRi, where she commented on Kanye's recent announcement that he's planning to run for president in 2020.

"I mean people are voting for [Donald] Trump," Rihanna said. "Who wouldn't vote for Kanye?!"