Bryant injured the hand early in the fourth quarter of Sunday's 20-19 win at Cincinnati. He was able to finish the game despite the injury and caught a 27-yard touchdown pass with 6:35 left.
"He's still getting checked on now, and we'll see what his status is going forward," Cowboys coach Jason Garrett said Monday.
Bryant is having his best season with 75 catches for 1,028 yards and nine touchdowns.
"We're just trying to figure out what it is," Garrett said Monday afternoon. "I think he's literally at the doctor as we speak now."
The Cowboys play Pittsburgh at home Sunday in a battle of 7-6 teams trying to keep playoff hopes alive.
''Adrenaline sometimes allows players to continue to play after they've had an injury,'' Garrett said. ''He certainly made a big play in the ballgame, and I think that's a real tribute to his toughness and his love for the game.''
If Bryant ends up on injured reserve, he will be the fifth Dallas starter sidelined by a season-ending injury. The other four are defenders, and nickel cornerback Orlando Scandrick is out for the year with a hand injury. Nose tackle Jay Ratliff has missed seven games with ankle and groin injuries.Dallas is still a game behind Chicago and Seattle for the two wild-card spots in the NFC, and the New York Giants stayed a game ahead in the NFC East by beating New Orleans.
The Associated Press contributed to this report.
Follow Keith Whitmire on Twitter: @Keith_Whitmire