The 30-year-old has been named as a possible actress in the new movie, which stars Travolta.
Kardashian, who is best known for her role in US reality show Keeping Up With The Kardashians, has been in talks to play the role of Gotti's daughter-in-law, also called Kim, according to TMZ.com.
Gotti was one of New York's most feared crime bosses and the film will tell the story of three generations of the Gambino crime family, who John Gotti led after the murder of the previous boss, Paul Castellano.
In 1992 he was convicted of several crimes including 13 murders, illegal gambling, loansharking and tax evasion, and was sentenced to life in prison without parole.
Gotti died from throat cancer in 2002 at the United States Medical Center for Federal Prisoners in Springfield, Missouri.
Hollywood star James Franco could also be starring in the movie as Junior Gotti, who is believed to have taken over as the head of the family during his dad's incarceration.