The deal was first reported by NFL.com's Ian Rapoport.
Rapoport reported Graham's deal is worth up to $26 million, with $14 million guaranteed. Graham, 26, was drafted No. 13 out of Michigan by the Eagles in 2010. He played in all 16 games last season, recording a career-high 46 tackles, 5.5 sacks and four fumbles forced.
The Eagles have let a number of veterans go leading up to free agency, including cornerback Cary Williams and guard Todd Herremans. The team also reportedly dealt Pro Bowl running back LeSean McCoy to Buffalo for linebacker Kiko Alonso in a deal that will become official this week.
- Jeremy Woo