ESPN's Adam Schefter first reported the move, which won't become official until Wednesday.
Murray altered his contract to accommodate the trade, but he did not lose his $21 million in guaranteed money, per Rapoport, according to a source informed of the deal.
This would seem to solve the Titans' problem at running back and kills any positive offseason buzz for David Cobb. The Titans have struggled to run the ball in recent years, but Murray will be an upgrade at the position. He'll likely be drafted as a middle-of-the-road RB2 in August. In Philadelphia, it's a boon to Ryan Mathews' value, provided he stays put.