The Resident Evil actress was caught speeding in Hawaii, where Lost is filmed, three times last year (05), and was charged with DUI offences after an incident on 30 November.
But Abrams is keen to stand by the actress who plays ANA LUCIA in the show's second season.
He tells the New York Post, "While we don't want to report on the fate of any of the characters on the show I would say without question, that any reports that anything that's going on with any of the actors as being problematic or resulting in changing the storyline to sort of, you know, get rid of them, is just erroneous and silliness.
"There's a lot of stuff that has happened that's extracurricular, and it's in the news. It becomes fodder for speculation."