The safety from LSU was expected to take part in his first practice Tuesday after signing a five-year deal worth about $41.5 million.
"They're doing the paperwork now," vice president of football operations Vinny Cerrato said following Monday afternoon's practice.
Landry missed six practices over four days, making him the team's first holdout since Patrick Ramsey in 2002.
"He's going to have to catch up ... He's going to be sore when everybody else is flying," assistant coach Gregg Williams said. "That's the hardest thing."
Landry is projected as a starter at strong safety, joining a secondary that would consist of four players taken in the top 10 of the NFL draft. Cornerback Shawn Springs was the No. 3 overall selection in 1997, free safety Sean Taylor was taken at No. 5 in 2004, and cornerback Carlos Rogers went at No. 9 in 2005.
Landry is known as a hard-hitter who plays constantly at full throttle. He started 48 games over four years at LSU and was first-team All-America as a senior. His brother, Dawan, plays for the Baltimore Ravens.