Fred Davis (right) and Robert Griffin III worked out during a 2013 Redskins OTA. (John McDonnell / The Washington Post)

The New England Patriots added a tight end to their roster, signing Fred Davis less than a week after he was reinstated by the NFL.

Davis, who missed all of last season after being suspended in definitely in February 2014 for repeatedly violating the league’s substance-abuse policy, agreed to a one-year deal with the Patriots, according to multiple outlets.

Davis, 29, was a second-round pick by the Washington Redskins in the 2008 draft and caught 59 passes for 796 yards in his best season, 2011. He’ll have plenty of competition for a roster spot and seems unlikely to be around after the final cuts, but he’s a low-risk, low-cost option for Bill Belichick. He’ll compete with Rob Gronkowski, Michael Hoomanawanui, Tim Wright, Scott Chandler and sixth-round pick A.J. Derby.