Ramsey, when asked by an ESPN reporter in the locker room if he would be able to play Sunday, looked up from his phone and said, "Nah."
Ramsey then told a reporter from the Florida Times-Union moments later that he would not play.
Ramsey is having an All-Pro caliber season in his second year with 36 tackles, two interceptions and 14 passes defensed.
Jaguars right tackle Jermey Parnell (knee), left guard Patrick Omameh (quad) and linebacker Donald Payne (hamstring) also were listed as questionable on Friday's injury report. Wide receiver Allen Hurns, who has not practiced since he suffered an ankle injury against the Los Angeles Chargers on Nov. 12, was listed as out.