Rousey, who will be facing Bethe Correia at UFC 190 on August 1, has thus far avoided fighting Cyborg as she isn't interested in gaining the weight needed to reach Cyborg's division.
The former Olympian has repeatedly taken aim at Cyborg for her past steroid use, but she admitted that she would like nothing more than to pummel the 30-year-old before hanging up her gloves for good.
"I hope so (the fight does happen. I really do)," Rousey told MMA Fighting. "But it's entirely up to her. I'm not gonna go chasing her around. She's not entitled to have me chase her around. She's the fraud that got defamed.
"And if you can make 145 pumped full of steroids, you can get off of it and drop. I have this idea in my mind that my final fight would be just beating the crap out of Cris Cyborg and then when Dana puts the belt on me the last time, I can take it off and hand it back to him.
"But if she doesn't step up, I can move on and do other things in my life. She's the one who is going to fall into obscurity without me."
Rousey added that she will only consider retiring when women's MMA is thriving and she has run out of opponents to fight.
"I guess the day that I really feel like I run out is the day I'll be done. Right now, they're lining up around the block," she said. "When the day comes when I feel like I've done all I could do and the women's strawweight division is being so successful and competitive is one of the most encouraging thing that's happened. That division has nothing to do with me and it's thriving.
"Once I feel like women's MMA is really self-sustaining and something I can see lasting for decades without me, then I'll be able step away.
"Everyone who says 'you're running out of opponents,' you better hope I don't run out. Because then I'll be done."