The English actor, who divides his time between LA and the UK, stars as Bill Compton in the hit US show about a Louisiana town where humans and vampires co-exist.
"I hope the show goes down as well in London as it does here," he said.
His co-star Nelsan Ellis said he thought Brits would love the first season, which will air on Channel 4 later in the year.
Speaking at the William S Paley Television Festival in Hollywood, Nelsan said: "I think they're gonna love it because having lived in England, they're not as conservative as Americans are when it comes to that type of stuff, so I think it's gonna be a hit over there.
"It's very racy and my experience over there, they don't care about racy."

Alan Ball, creator and executive producer of the show, said: "The British viewers have a series that is really, really fun and entertaining and really romantic and sexy and violent and funny and dramatic.
"It us just a fun, fun ride to take."
Alan, who also wrote American Beauty and created Six Feet Under, added: "Some people are gonna find it racy - they're not really the audience for the show. Most people seem to like it."