The former second-season Bachelor Pad couple were spotted kissing each other in New York City earlier this month, Us Weekly reported in its October 24 issue.
"They've been hanging out recently, but Jackie doesn't know what he wants," a source told Us.
"They're seeing what happens!"
Brown, a seventh-season The Bachelorette bachelor, and Gordon, a fifteenth-season The Bachelor bachelorette, fell for each other after they met while filming the second season of Bachelor Pad in June, however their relationship ended a couple of weeks after they left the show.
"I personally was definitely shocked that it ended as it did. I was certainly not expecting that. I thought this was something that had a potential forever... It is what it is and different things happen. I'm not going to say I didn't have my share of heartbreak, because I certainly did. I have cried it out a lot. It's been hard," Gordon told reporters during an August conference call.
"I was certainly surprised by it. It kind of came out of nowhere. At least for me, from what I knew for awhile, things were great. I just thought it was going to last much longer than it did, but it takes two. I guess he didn't and it was hard. It's a hard pill to swallow when you find love, especially on a show like that where it's so unusual -- and it leaves you hurt."
Brown told reporters the time he had spent with Gordon was amazing, but he ended up calling it quits because they ultimately weren't right for each other.
"There's nothing bad I can possibly say. She is wonderful in every way. We just weren't, maybe, an ideal match," he said.