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Lohan, 26, plays Taylor in an upcoming television movie that dramatises the long love affair between the late Hollywood legend and actor Richard Burton.
"It's a funny story, actually. I had seen that they were going to be making the movie and I got the producers' numbers and started harassing (producer) Larry Thompson," Lohan said on ABC's "Good Morning America."
"I didn't even care if my agents were going to do it or not, I just did it myself, too," the "Mean Girls" actress said. "Because I was like, 'No one else is going to play this role, I have to do this.'"
Early reviews of "Liz & Dick," which premieres on US cable channel Lifetime on November 25, have ranged from middling to poor. But TV critics noted the similarities between Lohan and Taylor, both often-troubled actresses who started life as child stars.
"'Liz & Dick' truly drags," said the Hollywood Reporter. "Luckily, you can't take your eyes off of Lohan playing Taylor, which the producers clearly thought would work because they share similar back stories."
Lohan's acting alongside New Zealand's Grant Bowler as Burton was described by Variety on Friday as "adequate, barring a few awkward moments, thanks largely to the fabulous frocks and makeup ... she gets to model."
Lohan's reputation, much like Taylor's, has been built from her tabloid persona more than on-screen performance.
In and out of legal trouble, jail and rehab since 2007, Lohan faced media blow-back this week after canceling an in-depth interview with ABC's Barbara Walters, who said she suspected the actress' publicity team pulled the plug knowing Walters would ask tough questions.