Darqueze Dennard, the team's first-round cornerback, will definitely be on the roster if he is healthy this year. The same can be said for second-round running back Jeremy Hill and third-round defensive end Will Clarke.
After Clarke, fourth-round center Russell Bodine was brought in. Bodine should make the roster, unless he has a disastrous training camp and is released to the practice squad. In the fifth round, quarterback AJ McCarron was selected, a QB who will likely compete for a backup spot behind Andy Dalton.
Sixth-round selection Marquis Flowers will have a good chance to make the roster if he impresses in training camp, but neither seventh-round pick, James Wright or Lavelle Westbrooks, should be entering camp with any kind of expectation to make the roster.
Because of their relatively strong draft class, the Bengals won't have many roster spots to promise to undrafted free agents. However, they also have a recent example of an unearthed star from undrafted free agency currently on the roster, Vontaze Burfict.
Burfict wasn't selected when he came out of college, but he won a roster spot before becoming an integral piece of the defense.
That opportunity to win a spot will always be there in Cincinnati because the Bengals don't stay married to initial evaluations. Furthermore, they also develop players very well. With both of those key aspects of this process in mind, Cincinnati should be a preferred destination for undrafted free agents.