Before Bryant would be able to play against the Steelers, Garrett said the receiver would have to get to a point where he is functional to practice and then see how he does there.
On his twice-weekly radio show Tuesday, Cowboys owner Jerry Jones said the decision on playing would be up to Bryant. Garrett said Wednesday that Bryant and "a lot of people" would be involved in the decision.
"Certainly the player has a lot to do with his willingness and ability to play. But again, the medical part is a big piece and his ability to function is a big piece," Garrett said.
When Terrell Owns was with the Cowboys in 2006, he kept playing after breaking a finger the first month of the season. He played the rest of the games without reinjuring it, then had surgery after that.
Bryant is having his best NFL season with 75 catches for 1,028 yards and nine TDs. He is 11th in the league in receptions, 10th in yardage and eighth in scoring for non-kickers.
"Dez has been outstanding. He's gotten better and better really each and every day since he's been here. I think he's understanding more and more how to prepare himself to play at a top-level week in and week out," Garrett said. "Where he's made his greatest strides is day in and day out, play in and play out, game in and game out. He's just gotten better and better and better and it's shown in his results."