Simon Cowell recently revealed that he wants two hosts - "a boy and a girl" - for the upcoming season of the reality competition.
Reports have emerged suggesting that Kardashian is in the running for the coveted position, according to E! Online.
George Clooney's girlfriend Stacy Keibler is also reported to be in the running, as well as Kelly Osbourne, Mario Lopez and Fox Sports reporter Erin Andrews.
A source told the website: "They're doing the auditions without a host, so it's no big deal they don't have hosts right now.
"Simon really wants to take his time," the insider added. "The two-person thing didn't work out the first time, and he wants to make sure it works this time."
Steve Jones previously served as the host of The X Factor USA, but was axed after the first season.