The New York Jets suffered another free-agent loss, as leading rusher Shonn Greene finalized a three-year, $10 million contract Wednesday with the Tennessee Titans, a source told ESPN Insider Adam Schefter.

The Jets didn't see Greene as a fit in their new West Coast system and didn't make a strong push to re-sign him. The Titans targeted him because of his bruising running style, which they believe will be an ideal complement to Chris Johnson.

The Titans, making an effort to bolster their offense, previously signed guard Andy Levitre and tight end Delanie Walker as free agents.

Greene rushed for 1,054 and 1,063 yards the last two seasons, but he never developed into a legitimate No. 1 back. Even though he led the team with eight touchdowns in 2012 -- impressive on a team that finished 28th in scoring offense -- he wasn't a breakaway threat.

His departure leaves the Jets with no accomplished running backs, a dramatic drop off. Unless they import a proven veteran, this will mark the first time since 1994 they don't have a 1,000-yard rusher on the roster.

Starting in 1998, the Jets enjoyed premier backs, going from Hall of Famer Curtis Martin to Thomas Jones to future Hall of Famer LaDainian Tomlinson.

Now they're left with Bilal Powell and Joe McKnight, who have a combined total of 960 yards. They almost certainly will draft a back and they're interested in free agent Mike Goodson, most recently a backup with the Oakland Raiders.