Maxwell himself told ESPN.com that he's planning on signing with the Eagles.
The terms of the deal have not been disclosed, but at one point the team and Maxwell were discussing a six-year, $63 million deal that had $25 million guaranteed, according to Yahoo Sports and first reported by KBME Radio's Jayson Braddock.
Maxwell is likely to step into a starting role in Philadelphia as the Eagles' two leading cornerbacks are not expected to return.
Philadelphia released starting Cary Williams after the 2014 season, while Bradley Fletcher is likely to pursue other teams in free agency.
Maxwell, a four-year NFL veteran out of Clemson, started 12 games last year for the Seahawks, amassing 45 tackles and picking off two passes.
The Eagles will look to Maxwell to help improve the NFL's fifth-worst total yardage defense, which gave up more than 375.6 yards per game, as well as the league's second-worst passing defense, which gave up 264.9 yards per game.
Philadelphia finished 10-6 last year and missed the playoffs.