According to ESPN, Bryant can risk permanent injury to his left index finger, but the talented third-year receiver understands how important he is to 7-6 Dallas and will delay surgery.
Bryant did not practice Wednesday while he saw a specialist for a second opinion on his injury. He sustained the injury in Dallas' 20-19 win over the Cincinnati Bengals this past week, completing a crucial 27-yard touchdown.
Cowboys owner Jerry Jones said on Tuesday that it would be up to Bryant if he would play through the injury.
Bryant reportedly responded to Jones's comments by saying, "They'd have to break my leg to keep me out."
The Cowboys are one game back of the New York Giants for the NFC East lead, and are also in the mix for either wild card spot.
The 24-year-old has been hot recently, scoring seven touchdowns in the Cowboys' last five games, with Dallas winning four games in that stretch.
For the season, Bryant has caught 75 passes for 1,028 yards and nine touchdowns. Should Bryant miss Sunday's game, quarterback Tony Romo would be limited to recievers Miles Austin and Kevin Ogletree, who have scored a combined eight touchdowns this season.