This time, there will be no team-employed bodyguards to accompany Jones and try to keep him out of trouble.
Jones has completed the inpatient portion of his NFL-ordered alcohol treatment.
Cowboys owner Jerry Jones said Wednesday the cornerback was being reinstated by NFL commissioner Roger Goodell and should be eligible to play again after missing two more games.
Jerry Jones also said he isn't bringing back the security detail -- leaving it up to Adam Jones to make decisions on his own.
Worrick Robinson, Adam Jones' Nashville-based attorney, said the player understands it's up to him to avoid any more trouble.
Jerry Jones expects Adam Jones to return to practice with the team by Monday and play Dec. 7 at Pittsburgh "if everything goes like it should."