06/28/2010 at 04:01 PM EDT
star Ashley Greene braves plenty of harrowing situations onscreen in Eclipse
, the next installment of the vampire saga, but one of the toughest things the frequent traveler deals with off-screen is being away from her beloved toy fox terrier Marlo
"I feel so bad I'm about to have to leave her in a couple days to go abroad to do the rest of the press tour," Greene told PEOPLE at the Eclipse
premiere in Los Angeles last week.
But don't worry too much about Marlo's own separation anxiety. "Oh, I have lots of friends and family that wanna kidnap that puppy," Greene laughed. "So she's well cared for!"
Greene calls Marlo her copilot – a companion for her Hollywood ride. "She's just the most fantastic little puppy I could ask for," she says. "I've had her for a little over a year and I like to think she's my constant amidst constant change. She's the one thing that's there." See more Twilight stars on PEOPLEPets.com:Kristen Stewart's Latest Love? Her Cat Max!'Twilight's' Rachelle Lefevre Settles into Life with Two New Rescue Pooches