The terms of the deal were not disclosed, but ESPN's Adam Schefter reported it is a one-year, $3.5 million contract.
Delmas will be entering his second season with Miami, and his seventh overall in the NFL. In 13 games last season, Delmas had 61 tackles, two fumble recoveries and one interception.
The safety tore his ACL in the team's loss to the Baltimore Ravens on Dec. 7.
Delmas spent the first five seasons of his career with the Detroit Lions after being a second-round pick in 2009.
- Erick Fernandez