The Washington Redskins have signed 13th-year veteran defensive lineman Cullen Jenkins to a one-year contract after hosting him for a workout Monday morning, a person with knowledge of the situation said.

Jenkins, 35, started 13 games for the New York Giants last season and recorded 26 tackles, three sacks and two pass breakups. He remained unsigned after finishing out a three-year contract with New York this offseason.

Jenkins entered the NFL as an undrafted free agent out of Central Michigan in 2003. He spent the first seven years of his career with the Green Bay Packers, helping the team to victory in the Super Bowl to cap the 2010 season.

For his career, the 6-foot-3, 305-pound Jenkins has recorded 230 tackles, 45 1/2 sacks and nine fumble recoveries while starting 138 of 169 games.

The Redskins have looked to upgrade their defensive front after the unit struggled both at pass rushing and run stopping last season. The team this offseason signed free agents Kendall Reyes and Ziggy Hood, and drafted Temple’s Matt Ioannidis in the fifth round. Hood has had the best preseason of any of the defensive linemen, but has served primarily as a rotational player behind Reyes and Chris Baker at the right and left defensive end positions, respectively. Ricky Jean Francois, a free agent addition in 2015, also has competed for time behind Baker and Reyes.

Baker, who recorded six sacks last season, is Washington’s best defensive lineman, but has nursed toe and leg injuries this preseason. Eleventh-year veteran Kedric Golston appears to be locked in as the starting nose tackle after serving primarily as a backup in recent years.

Washington also has Stephen Paea on the roster. But Paea, who in 2015 signed a four-year, $21 million contract, has yet to make a consistent impact and has spent the bulk of the preseason working with the second and third units.

Jenkins is expected to compete for time at end in Washington’s base three-man fronts, and at tackle in the four-man nickel packages.

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