If the Cowboys paid the bill, it could be a salary cap violation, NFL spokesman Greg Aiello told NFL.com and NFL Network.
A team source confirmed the off-the-field guidelines Bryant will have to adhere to, as first reported by ESPNDallas.com.
The rules stipulate that Bryant must have a midnight curfew, not drink alcohol and can only attend nightclubs pre-approved by the team, among other guidelines.
The rotating three-man security team will drive Bryant to games, practice and team functions.
"We want to support our players, we want to support Dez and we want to support his family, and the same time hold him accountable to what he needs to do," Garrett said.
"We've talked about his development since he's come here, as a person and as a player. ... We need to help him, we need to support him, but again, we need to hold him accountable. I think this is just an example of that."
The troubled-but-talented wide receiver was arrested in DeSoto, Texas, in July and charged with misdemeanor domestic violence stemming from an incident with his mother.
The NFL won't consider meting out punishment to Bryant until Bryant's case is over, Aiello told NFL.com and NFL Network.
"We will review the facts once the case is resolved by the court," Aiello said.