Lohan, who plays a young Elizabeth Taylor in the TV biopic, was recently found unconscious in her Los Angeles hotel room during a break from filming.
The Mean Girls star was checked over by paramedics, and later joked about the event on her Twitter account.
She wrote: "Note to self.. After working 85hours in 4days, and being up all night shooting, be very aware that you might pass out from exhaustion (sic)."
According to Deadline, two members of the production's hair department also suffered exhaustion on set yesterday (June 16).
A source says the two individuals were taken to the hospital where they were treated for "severe dehydration and exhaustion".
Members of the production crew have allegedly been working over 20 hours a day on the movie.