Whenever Aldon Smith is reinstated to the NFL, it will be with the Raiders.

The team signed the pass rusher to a two-year, $11 million deal Monday. He can earn another $8.5 million in incentives.

Smith, 26, is serving a one-year suspension for violating the league’s substance-abuse policy. The linebacker was suspended Nov. 17, 2015, and can apply for reinstatement 60 days before the suspension is up.

Smith wasn’t available for comment Monday as, per the suspension, he was allowed to sign the deal before immediately leaving the Raiders’ facility in Alameda. He can’t participate in the team’s offseason program, attend training camp or practice with the Raiders.

Smith did tweet a picture of himself signing the contract and wrote, “Blessed.”

Smith pleaded not guilty in September to misdemeanor counts of hit-and-run, drunken driving and vandalism from an Aug. 6 incident. He had 3½ sacks in nine games with the Raiders last season.

The Raiders signed former Seattle outside linebacker Bruce Irvin last month, and head coach Jack Del Rio would like to have a couple of pass rushers to team with All-Pro defensive end Khalil Mack.

Smith, who played his first four seasons with the 49ers, has 47½ sacks in 59 games. His off-field trouble led San Francisco to cut him Aug. 7.

Smith missed the first nine games of the 2014 season while serving an NFL suspension for violations of the league’s substance-abuse and personal-conduct policies. He also had a DUI arrest Sept. 20, 2013.

Safety to visit: Free-agent safety Reggie Nelson, who has been with Cincinnati, is scheduled to visit the team facility Tuesday. The Raiders, looking to replace the retired Charles Woodson, wined and dined Nelson on Monday night, and sources say a deal is expected, pending his physical.

Nelson, 33 in September, played for Del Rio in Jacksonville in 2007. Nelson had a league-high eight interceptions last season with the Bengals, as well as 14 passes broken up.

Vic Tafur is a San Francisco Chronicle staff writer. Email: vtafur@sfchronicle.com