Godwin, who made it to Colton's Final 3 bachelorettes but got dumped ahead of her Fantasy Suite date, revealed she was "open to" starring on The Bachelorette or appearing on Bachelor in Paradise after leaving The Bachelor single.
"But it's all about a connection and how you are," Godwin insisted.
"I'd have to hang out with him to figure out if that would work and everything. So maybe Paradise would be a spot to meet each other. Who knows! But also, I want to go in open-minded and just go with my gut."
If Godwin does end up looking for love on Bachelor in Paradise, she admitted to Extra that she hopes fans will be able to see her "kind of goofy and kind of quirky" side that wasn't really featured on The Bachelor's 23rd edition.
"I'm excited to maybe get the chance to show the world I'm sometimes funny. I'm not that funny, but I don't take myself too seriously," Godwin noted.
As for Brown's upcoming journey on The Bachelorette this spring, Godwin wishes her well and believes it will be entertaining television.
"I think Hannah B. and I would have had totally different seasons and it would've been such a different storyline," Godwin said.
"And whatever is meant to be is meant to be. Maybe I'll find my person somewhere else! And maybe this is [Hannah B.]'s chance."