Kim, 39, took to the social media site to joke that she had recorded Caitlyn's motivational message and set it as her alarm alert.
Caitlyn, who has been winning over fans during her stint in the jungle, has become famous for her motivational speeches each morning.
She's regularly been seen waking up her campmates by urging them to "excel" every day.
I literally recorded this and set this as my alarm a few weeks ago!
I'm A Celebrity's official Twitter account shared a video of Caitlyn waking up the camp by shouting "rise and shine".
It tweeted: "Need this as my alarm tone!"
But Kim responded by retweeting and saying: "I literally recorded this and set this as my alarm a few weeks ago!"
Back in October, Caitlyn's 22-year-old daughter Kylie was seen on an office tour using the same phrase to wake up her daughter, Stormi.
And the family similarity was not lost of fans of the superstar family.
One viewer said: "Caitlyn hitting them with the Rise and Shine now too.
"Kylie Jenner would be so proud."
Caitlyn, who transitioned from Olympic athlete Bruce Jenner in 2015, has six children from his three marriages, as well as four step-children from his marriage to Kris Kardashian.
Caitlyn opened up about her family relationships on the show to campmates Kate Garraway, Adele Roberts, Nadine Coyle and Jaqueline Jossa.
And Caitlyn, who used to be Olympic-winning athlete Bruce Jenner before she transitioned in 2015, said: "Bruce raised them and Caitlyn is enjoying their life with them."
Caitlyn, 70, also admitted that she will 'always be father to her children' and that all her kids call her 'dad'.
- I'm A Celebrity returns to ITV tonight at 9pm