Ramsey is listed as questionable on Friday's game-status report with a hand injury, but when approached by ESPN in the locker room and asked whether he would be able to play Sunday, he looked up from his phone and said, "Nah."
He also told a reporter from the Florida Times-Union moments later that he would not play.
Ramsey suffered his hand injury during practice Friday while going for a football, coach Doug Marrone said.
In addition to Ramsey, right tackle Jermey Parnell (knee), left guard Patrick Omameh (quad) and linebacker Donald Payne (hamstring) are questionable. Receiver Allen Hurns (ankle) is out, which is not a surprise since he hasn't practiced since he suffered his injury against the Los Angeles Chargers on Nov. 12.