With the way the roster is currently constructed, the Yankees only have one more need for a position player. To be more specific, the Yankees only need one more infielder, given the team is set to head north with five outfielders. As of right now, there are five players currently in camp that the team and/or fans think has a chance of making the roster: Eduardo Nunez, Scott Sizemore, Dean Anna, Russ Canzler, and Yangervis Solarte.
Yangervis Solarte: Let's start with PSA favorite Yangervis Solarte. The non-roster invitee has so far raked to a .667/.705/1.067 line through eight Grapefruit League games. Everyone is pulling for this guy because he has an awesome name, is hitting the absolute cover off the ball, and simply isn't named "Eduardo Nunez." Unfortunately, no matter how long Yangervis' hot-streak lasts (and I imagine he will cool down here pretty shortly), I fully expect him to get sent packing to Scranton come April.
Dean Anna: Here's another PSA favorite. Now, unlike Solarte, I do feel Anna has some sort of future with the Yankees; it will just start with Scranton once camp breaks. The Yankees have said they will go with a platoon at third to pairwith Kelly Johnson, and, for obvious reasons, Anna doesn't fit the bill as a right-handed platoon partner. Because he's on the 40-man roster, and can play both second and short, Anna could very well be given a chance with the big league team once one of Derek Jeter/Brian Roberts gets hurt sometime in April or May.
Eduardo Nunez: Back in October, I wondered if the Yankees would give Nunez a shot at third base in 2014, considering he played reasonably well there during the month of September. As a result, it appears as though the team has at least given him a shot to be a part of the third base platoon with Kelly Johnson. Nunez has also seen time at short and second during camp, but if he manages to make the team, he should see a bulk of his time at third. For whatever reason, Nunez keeps getting chance after chance, but I do feel the team has lost some patience with him and there is definitely a non-zero chance he doesn't make the team.
Scott Sizemore: Along with Dellin Betances, Scott Sizemore is a guy who I'm rooting hard for to make the team. He tore his ACL twice in the past couple of years and has amassed only six plate appearances since the beginning of 2012. It's a limited sample, but Sizemore has hit lefties well in his career (118 wRC+), and if he were to continue, or at least come close to that type of production, he would be a good fit as part of the platoon with Johnson. Along with third, Sizemore has experience at second, so he could fill in there once Brian Roberts gets hurt, too.
Russ Canzler: The final member of this competition for the last infield spot is perhaps the most boring member. No offense to Canzler, but he's pretty much just... there. I mean, no one hates him like Nunez; no one loves him like Solarte or Anna; and he's not in the middle of some feel-good story like Sizemore. Nonetheless, Canzler was mentioned by Brian Cashman as a guy who could platoon with Johnson at third, but mentioned his struggles defensively at the position. Canzler has, however, hit lefties well at the Triple-A level in the past (~.957 OPS vs LHP since the beginning of 2012), and could spell Mark Teixeira here-and-there at first base if needed.