Tyler CameronandGigi Hadidare two dates in, and there may be more to come.

“Their dates are definitely real and he’s having a good time,” a source tells PEOPLE about theBacheloretterunner-up, 26, and the supermodel, 24, who werespotted togetherSunday night, and then confirmed to be hanging outone night later.

Still, labels shouldn’t be put on the pairing, as the source explains, “it’s too soon to say Tyler and Gigi are ‘dating.’ ”

“They’re both being purposefully coy,” the source adds.

Cameron, who finished second on Hannah Brown’s recent season ofThe Bachelorette, was spotted with Hadidat Soho Housein Brooklyn on Sunday in a photo that surfaced on Twitter.

While the photo was taken from behind, obscuring their faces, the man in the photo is wearing the same shirt Cameron was wearing in other social media posts from the same day. (Reps for both did not respond to PEOPLE’s request for comment.)

Hadid was photographed leaving the venue in blue biker shorts, a long-sleeved shirt and sneakers.

Cameron’s first date with Hadid came two days after he was photographedleaving Brown’s Los Angeles lodgingson Friday morning. An insider toldE! Newsthey spent the night together. “I thought it went great. I think he did, too,” Brown, 24, told PEOPLE of their time together. “We had a great time. We talked everything out. It felt very normal.”

Now, the source says that “Hannah is not thrilled” about news of Cameron and Hadid’s outings.

“It’s not that she doesn’t think he’s allowed to date other people, but it’s embarrassing,” the source explains.

Elder Ordonez / SplashNews.com

Gigi Hadid

On Monday, Brown — whoasked Cameron outduring theBachelorettefinale last week afterending her engagementto winnerJed Wyatt— told PEOPLE that she’s “not really sure where things stand with [Cameron] right now.”

Brown added that for now, she has no expectations when it comes to a relationship with Cameron.

“We both have things that are going on in our lives right now separately,” she said. “I’m keeping my options open.”

She also clarified that “dating is too strong of a word” for her current situation with Cameron, and deemed herself “a single woman.”

Raymond Hall/GC Images; ABC; Jon Kopaloff/FilmMagic

hanna-gigi

Although Cameron seems to be enjoying his single life, it isn’t looking like he’ll beleading the next seasonofThe Bachelor, at least according to hostChris Harrison.

However, Harrison did note several reasons as to why Cameron could make a good Bachelor, even if it doesn’t come to fruition.

“Obviously, he’s a good-looking guy,” Harrison continued. “I think you saw him, his true self when he was with Hannah and how he handled that situation.How he handled Jed, how he took care of Hannah in those situations, I think he really showed his true character, and that’s a true measure of a man, when you’re really put in those extreme situations. So he’s a good guy.”

source: people.com