Rice is coming off a torn ACL, and ESPN.com's initial roster projection for the 2014 season does not include Rice.
We believe Rice has a good shot to make the team over, say, Ricardo Lockette. But Rice needs to show that he's healthy in August or he could be out of a job. His situation got us thinking: Which other NFL veterans you know well could be battling just to make the roster? Here are five more:
» Stephen Hill, New York Jets: Hill is in that strange place occupied by a lot of disappointing third-year players. He's going to be given every chance to start again. But if he falls short, the Jets might choose to cut their losses and move on. General manager John Idzik did not draft Hill, and investing another year in him might be a waste of time and energy.
» BenJarvus Green-Ellis, Cincinnati Bengals:Giovani Bernard should lead the Bengals' backfield in carries. They drafted Jeremy Hill in the second round to essentially take The Law Firm's role as a pounding running back. Green-Ellis is essentially a highly paid No. 3 running back at best. He does have one thing going for him, however. Unlike most of this list, Green-Ellis has extensive experience as a special teamer.
» Knowshon Moreno, Miami Dolphins: He showed up to offseason workouts out of shape, and then he underwent knee surgery. The Dolphins badly need running back help and they guaranteed Moreno $1.25 million when he signed, so he'll get every chance to make the team. But nothing would surprise us with Moreno after his offseason.