Team officials don't believe the jammed thumb is serious, and Bryant laughed when asked about it.
"The thumb is great," he said.
Bryant played through a fractured index finger in the last month of the 2012 season before undergoing offseason surgery. He also suffered back spasms in the regular-season finale at Washington. The pain was so bad Bryant needed two trainers to get him to the shower area, and he used a wheelchair to get to the team bus.
Overall, Bryant said he's not concerned about the Cowboys' first-team offense, which has failed to score a touchdown in five possessions over two preseason games. The Cowboys scored just three points with Romo as the quarterback and had another field goal attempt blocked.
"I don't think there's a big issue with us," Bryant said. "We go out and try to execute these plays the best way we possibly can when we go out to practice. I don't think it's no concern. Nobody is worried [about] not finding the end zone."