The 33-year-old American actress, who is based in Los Angeles, has been dating Boyle for several weeks after meeting him on the set of his new film "Trance", which he has been shooting in Britain, reported Contactmusic.
Dawson, who is 22 years younger than the 55-year-old director, said, "I'm back and forth splitting my time between England and LA. Right now, I'm focusing on the American election.
"I go to a lot of conventions, as I have a voting organisation set up called Voto Latino, which is eight years old, and so that is my main priority at the moment," she said.
The "Sin City" star is involved in the upcoming US election, in which President Barack Obama is bidding to win a second term and she said that her political interests will take priority over her acting career for the next few months.
"I still act as well as doing the political stuff, but, on election year, I tend to focus on that... On election year that takes priority," Dawson said.