Backup safety Lonnie Johnson (hamstring) also was ruled out.
Jones suffered a concussion in Sunday's 17-10 win over the Denver Broncos. Titans coach Mike Vrabel said on Monday that Jones was in the concussion protocol. The short week made it more difficult for Jones to get cleared. Reserve lineman Corey Levin will get the start at center in Jones' place.
Dupree is dealing with a hip injury that occurred in Week 2 against the Buffalo Bills. The veteran outside linebacker has been in and out of the lineup but has missed a total of four games this season.
Bullock tweaked his right calf during pregame warm-ups Sunday and was unavailable for kickoffs but was good on a 35-yard field goal attempt. Punter Ryan Stonehouse handled kickoffs for the Titans on Sunday.
For the Packers, linebacker De'Vondre Campbell (knee) and wide receiver Romeo Doubs (ankle) have been ruled out. Offensive linemen David Bakhtiari and Elgton Jenkins are both listed as questionable with knee injuries after not practicing this week.