The actress is in talks to play Victoria in the upcoming biopic of John's life, based on his son's memoirs.
She told E! News: "I've known [Victoria] and the family for many years and she's a strong-willed woman. She is completely devoted to her family and I admire her strength and self respect."
Gotti: Three Generations producer Mark Fiore has said that negotiations are just beginning, but called Lohan a "terrific actress" who has a close resemblance to Victoria.
Sienna Miller and Blake Lively were reportedly in the running for the part before Lohan was put forward for the role by Victoria.
It was also rumoured that Kim Kardashian has been asked to play John's daughter-in-law.