The blonde-haired songstress is thought to be dating Calvin after they were spotted a handful of times together in London - and now also in Los Angeles where the superstar DJ is filming his latest video.
Apparently finding the distance too hard to bear, Rita visited Calvin in the States over the weekend before jetting back to England to perform at the Sony's Xperia Access launch party on Tuesday (18 June). And now she has flown straight back to LA to reunite with him once more and to do a bit of shopping!
Rita, 22, and the 'Feel So Close' star were seen out and about in sunny California yesterday (20 June) as they left Barneys department store with a number of shopping bags, no doubt filled with a variety of interesting and glamorous outfits.
During their time together this week, Calvin, 29, posted an intimate snap on Instagram of the 'Shine Ya Light' singer sat in the sunshine while clutching a bottle of green juice.
Although Rita is usually quick to upload dozens of photos of her hectic lifestyle on her Instagram page, she has refrained from posting a picture of her with Calvin since the one she posted last month, which showed the two stars snuggled up to one another.
Rita had written "miss you" beside her picture of Calvin, so it's no wonder that she has been racking up the air miles this week to get back to her alleged beau.
Surely all this travelling across oceans means that they're now officially a couple?!
What do you think of Rita and Calvin as a couple? Let us know below, as the best comment from across the week wins £50!