The 46-year-old TV reporter sat down with Kris Jenner and her daughters Kim, Kourtney, Khloe and Kendall earlier this year to record an interview - but Kylie was noticeably absent from the chat despite posting pictures of herself at the studio on social media.
A source explained to the New York Post newspaper's Page Six column: ''She was all set to do the interview with her sisters, and she arrived to the location, ready to go.
''Then she bailed at the last minute because she thought the questions were going to be too tough.''
The claim comes shortly after Kylie, 20, revealed she had lip fillers after the first guy she kissed criticised her small pout.
The reality star admitted she had her mouth injected to make it plumper because she felt so ''insecure'' from the cruel comments.
Speaking to a therapist during a recent episode of her E! show 'Life of Kylie', she said: ''I was 15 and I was insecure about my lips. I have really small lips. And it was like one of my first kisses and a guy was like, 'I didn't think you would be a good kisser because you have such small lips.'
''But I took that really hard. Just when a guy you like says that, I don't know, it just really affected me. I just didn't feel desirable or pretty.''
Kylie said the incident encouraged her to change the appearance of her lips.
She shared: ''I really wanted bigger lips. I would overline my lips with lip liner just to create the illusion of bigger lips. And then finally I was like this lip liner isn't doing it. [I] ended up getting my lips done.''
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