The Chang'e-3 lander successfully entered a second hibernation on Friday and is expected to function normally for another year.
"[Chang'e] doesn't know about my problems yet," said the voice of Yutu in the Xinhua report. "If I can't be fixed, everyone please comfort her."
On social media, thousands of Chinese internet users sent their well-wishes to the little robot.
"You have done a great job, Yutu. You have endured extreme hot and cold temperatures and shown us what we have never seen," wrote one microblogger, as quoted by Xinhua.
Another wrote: "This is too heavy a burden. If the rabbit can not stand again, maybe we should let it have a rest."
Despite the setbacks, even the little Rabbit seemed aware of the odds it had overcome.
"Before departure, I studied the history of mankind's lunar probes. About half of the past 130 explorations ended in success; the rest ended in failure," noted the Jade Rabbit in its report.
"This is space exploration; the danger comes with its beauty. I am but a tiny dot in the vast picture of mankind's adventure in space.
"The sun has fallen, and the temperature is dropping so quickly... to tell you all a secret, I don't feel that sad. I was just in my own adventure story - and like every hero, I encountered a small problem," said the Rabbit.
"Goodnight, Earth," it said. "Goodnight, humanity.