The 22-year-old 'Hot Right Now' hitmaker got close to Timberlake's spouse Jessica Biel at the London's Yahoo! Wireless festival, reported TMZ online.
"Rita and Jessica really hit it off because they were both standing looking adoringly at Justin as he played his set. Jessica saw how enamoured Rita was with her husband's performance and got chatting to her," a source said.
Biel is rumoured to have had a chat with her husband about it.
"She put a word in with Justin afterwards and now Rita and he could be working together very soon," the source added.