Well, obviously. Who's gonna stop him? Sparano is implementing the ground and pound attack that the Jets uncharacteristically went away from last season, and the only guy who took carries from Greene last year (LaDainian Tomlinson) retired after struggling in the 2011-2012 campaign. So who's gonna take carries from Greene? Joe McKnight? With the 3.1 yards per carry he posted last year, I think not. McKnight will get most of the receptions out of the backfield, but as far as carries, look for Greene to hit 300.
The Jets did well to go out an get a run-first offensive coordinator to bring them back to powerhouse Rex Ryan football, but what they forgot to get was a good running back. Shonn Greene made his name as a rookie when the 9-7 Jets made it to the 2009 AFC Championship behind his 101 rushing yards per game, but he was going up against defenders who had gone through a full season of wear and tear, and Greene was on fresh legs after only carrying the ball 108 times. His excellent playoff performance rightfully earned him more carries, but he only has managed 910 yards and 4 touchdowns per season in the past two years. He carried the ball 253 times last year and barely managed to break the thousand yard mark (1054). I expect backs with that many carries to put up better yardage than that.
I will admit, Shonn Greene is a truck. But he's like a '92 Tahoe - it takes him a while to get going. When he's running through a big hole and has a full head of steam, defenders better get ready for an epic collision, but he lacks quick explosiveness which is key in becoming a good NFL running back. That lack of explosiveness is what limits Greene in goal line situations and passing downs; don't expect many big plays either. From a fantasy standpoint, there are plenty of better options. Don't overestimate the guy because of how many carries he'll get - he's just not that good. He'll put up good enough numbers, especially in leagues that give any points for carries, but he won't carry your team to a championship. He'll probably be a very low-end RB2.
Here's what the '92 Tahoe can do when it gets going: