PHILADELPHIA (973espn.com) - The Eagles still have plenty of holes to fill and fewer draft picks to address them so the team continues to add supplements via the free-agent market.

The latest of which was veteran defensive tackle Mike Martin on Monday. A college teammate of Brandon Graham at Michigan, Martin inked a one-year deal after working out for Philadelphia on Monday.

The stocky 6-foot-1, 305-pounder was originally selected by the Tennessee Titans in the third round of the 2012 NFL Draft after amassing 172 tackles (25 for loss) and 10 sacks during his four seasons with the Wolverines.

In Nashville Martin played in 46 games, starting five over his four seasons with the Titans, collecting 41 tackles and four sacks over that span. However, Martin played only 52 defensive snaps last season before going down with a knee injury.

He is expected to bring much-needed depth to the interior of the Eagles' front. Pro Bowler Fletcher Cox is expected to become Jim Schwartz's next great option at the three-technique, and former LSU standout Bennie Logan is solid holding down the nose but the depth behind those two is lacking with only the nondescript Beau Allen and perhaps Taylor Hart, a natural 3-4 player, figuring in before Martin arrived.

-John McMullen covers the Eagles and the NFL for 973ESPN.com. You can reach him at jmcmullen44@gmail.com or on Twitter @JFMcMullen

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