The Last of Us may have been pushed back to mid-June, but you'll be able to play a chunk of it around the end of May. Naughty Dog has confirmed that a demo of the game will be available on May 31, in addition to the early access for God of War: Ascension purchasers.
After IGN noticed a countdown clock in God of War teasing May 31 for the demo, Naughty Dog confirmed it with a tweet. It sounds as if May 31 is the date for the demo to go live for all users, but oddly, it falls on a Friday instead of PlayStation Network's usual Tuesday dates. A note on the back of the God of War cover says, "Estimated availability for The Last of Us demo is April 2013," so that may be the early access promised to GoW purchasers or a mistake. Shacknews has contacted Naughty Dog to clarify.