The 35-year-old reality star defended her husband, who was slammed by Swift in her 2016 Grammy Awards acceptance speech.
The "Bad Blood" hitmaker used the stage to remind women to never let someone else "undercut" their success, reported E! online.
"She totally knew that (Famous) was coming out. She wanted to all of a sudden act like she didn't," Kim said.
She said there is also a "video proof" of rapper's phone call with the singer, who "totally approved that (line)."
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"What rapper would call a girl that he was rapping a line about to get approval? Rick Rubin was there. So many respected people in the music business heard that (conversation) and knew," she added.
Following the "Keeping Up With The Kardashian" star's claims Swift reckoned that Kim is "under pressure" to agree with her husband.
"Taylor does not hold anything against Kim Kardashian as she recognizes the pressure Kim must be under and that she is only repeating what she has been told by Kanye West. However, that does not change the fact that much of what Kim is saying is incorrect.