Speaking prior to the UK release of the medical thriller Contagion – which also stars Matt Damon, Gwyneth Paltrow and Kate Winslet – Law spoke of celebrities' "double-sided relationship with the media", but was positive about certain aspects of journalism.
"I'm a great believer in freedom of speech and I'm a great believer in the right to investigative journalism used positively," he said. "I think the answer is to be mindful of those who are not necessarily treating their responsibilities wisely."
In Contagion, Law plays intrepid online blogger Alan Krumwiede, who writes about the outbreak of a worldwide epidemic, becoming an influential commentator as the crisis deepens.
Earlier this year, the 38-year-old launched legal action against the News of the World after learning from Scotland Yard that his voicemail messages had allegedly been targeted by the tabloid newspaper.
He said that action such as his could lead to positive changes in the future conduct of the media:
"If you're in the public eye you have a very active double-sided relationship with the media. I'm not necessarily happy with that but you have to accept it, otherwise you're railing against something that perhaps isn't going to shift."
"I think the situation is on the move with the inquiries going on at the moment, once a resolution is made with those inquiries we'll be in a better situation as to how to proceed in the future."
Contagion, directed by Steven Soderbergh, is released this Friday, 21 October.
