The Atlanta Falcons found a replacement for John Abraham on Wednesday by reaching an agreement with free agent defensive end Osi Umenyiora on a two-year contract.

A league source told ESPN NFL Insider Adam Schefter that Umenyiora's deal is for $8.5 million, with a max value of $12 million, including $5 million guaranteed.

The Atlanta Falcons bolstered their pass rush Wednesday, agreeing to terms with former New York Giants defensive end Osi Umenyiora. AP Photo/Bill Kostroun

The Falcons released the 34-year-old Abraham, the team leader with 10 sacks in 2012, on March 1, the same day they also released running back Michael Turner and cornerback Dunta Robinson.

The team replaced Turner by signing Steven Jackson to a three-year, $12 million deal on March 14. Now Umenyiora joins Jackson as Atlanta's second major free-agent addition.

The Falcons scheduled a news conference with Umenyiora for Thursday.

The 31-year-old Umenyiora gives the Falcons a slightly younger replacement at defensive end, but his production has declined in recent years. He had only six sacks for the Giants in 2012, when he started only four-of-16 games. He had 55 tackles, five for losses, and one forced fumble.

He had a career-high 14½ sacks in 2005, when he was a first-team All-Pro selection. He has reached double figures in sacks only one of the past four years -- 11½ in 2010.

Umenyiora, 6 feet 3, 255 pounds, was a second-round pick from Troy State by New York in 2003. He has 75 sacks, 31 forced fumbles and 13 fumble recoveries in his career and helped the Giants win two Super Bowl championships.