The 30-year-old fashionista, who split from Arctic Monkeys' Alex Turner in 2011, is said to have met Florence and the Machine's guitarist in LA, reported Contactmusic.
"Rob and Remi have been working in the studio and she thought they'd make a great pairing. He's totally Alexa's type. Remi arranged for them to go out to dinner at Soho House and there was a real spark.
"They've been inseparable ever since and seem smitten. Now Rob's planning to fly to New York where Alexa lives for Valentine's Day," a source said.
Chung is currently living in New York and she allegedly loves Ackroyd's humour.