The team announced the move Tuesday.
He stepped in as a starter for the final two games last season after Ray McDonald was released because of off-field legal issues.
The 25-year-old Jerod-Eddie, who originally signed with the 49ers as an undrafted rookie free agent in May 2012, had 21 tackles in 2014.
He has appeared in 32 games with four starts over the past three seasons.
AP NFL website: www.pro32.ap.org and www.twitter.com/AP-NFL