Are Chris Evans and Sandra Bullock the new hot celebrity couple? Not yet, but they may be soon.

According to an E! News source, they’re in the early stages of “getting to know each other.” The source stated, “They are not in a relationship, but they are definitely hanging out and are in the early getting-to-know-each-other phase. They haven’t put a title on it, but they really like each other.”

Rumors began surfacing about the pair in early May when the two were spotted sharing a meal together with Bullock’s friend Chelsea Handler. The previous month, they were also seen around Hollywood with Bullock’s former The Heat co-star Melissa McCarthy.

During their dinner with Handler, a casual observer told OK! Magazine that, “Chelsea looked like the odd man out – Sandy and Chris were talking and joking with each other for much of the time. Chelsea kept chiming in and they would include her but there seemed to be a connection between Chris and Sandy.”

Bullock’s friendship with Handler initially began when the women filmed a skit together for Handler’s late night talk show, Chelsea Lately.

Evans’ admiration for Bullock developed long ago. He has had a crush on her since he was a boy. Evans and Bullock met in 2012 at Vanity Fair’s Oscar party. Three months later he told Playboy that he had a crush on Bullock since seventh grade. “I used to be in love with Sandra Bullock when I was growing up. Sandy B. was my girl. I remember seeing Speed when I was in seventh grade and just thinking, ‘That’s her.’ I can’t say I know her, but from what I’ve heard, she’s fantastic,” he gushed of Bullock. He even told Details magazine that he had a big poster of Bullock on his wall while growing up.

Evans is currently filming Avengers 2: Age of Ultron, while Bullock could begin production on The Heat 2 soon.

Lights, camera, assemble! @MarkRuffalo @ChrisEvans #AvengersAgeOfUltron pic.twitter.com/X972pscJCz

— Robert Downey Jr (@RobertDowneyJr) April 23, 2014

Thanks @MarkRuffalo !!!! pic.twitter.com/zihcHNEofd — Chris Evans (@ChrisEvans) May 15, 2014

Both stars are pretty busy at the moment, so how their relationship will progress only time will tell, but the Twitter world will definitely have something to say about it.

Sandra Bullock dating Chris Evans? Lucky bastard! I’d so date Sandy B! — Em (@Em_Millis) May 31, 2014

FUCK EVERYONE HATING ON SANDRA BULLOCK & CHRIS EVANS AGE GAP! If it was reversed NO ONE would be complaining. So stfu. — As if. (@_Kizzzy) May 31, 2014

That’s my reaction to finding out that Chris Evans may be dating Sandra Bullock: pic.twitter.com/kngeTzabAT

— ♡TEAM JETA♡ (@MaaryMaslow) May 31, 2014

Quentin dating Uma, Chris Evans supposedly dating Sandra Bullock means you too can one day date the celeb you’ve always been obsessed with

— NEHΛ MODI ¯\_(ツ)_/¯ (@nehamodi) May 31, 2014

Remember when Chris Evans said that his childhood crush is Sandra Bullock? Dreams do come true. Guys, we have hope.

— Chris Evans Updates (@ChrisEvansPH) May 11, 2014

Image via Wikimedia Commons