The Raiders later confirmed Branch signed his tender worth a reported $6.2 million and returned to workouts with the team.
He remains hopeful of signing a long-term deal. Branch also will begin taking part in the team's offseason program.
Branch, a fourth-round pick in 2008, has started every game the past three seasons and led the Raiders in tackles the past two years. He had 109 tackles, one sack and one interception last season for Oakland.
The Associated Press contributed to this report.