Weber left the game after he was checked into the boards by the Blackhawks' Brandon Saad at 10:49 of the second period. The Predators captain fell to the ice, was slow to get up and skated to his team's bench. He played 16 shifts and 13:25 of ice time before leaving. He had an assist on a goal in the first period.
The Predators didn't have an update on Weber after the game.
"There's injuries that go on through the course of a game," Predators coach Pete Laviolette said. "You don't know what they are or the significance of the injuries. But certainly you never like to lose any players. You certainly don't like to lose a guy that takes down as many minutes as Shea and the captain of your team."
Weber had 15 goals and 30 assists and was a plus-15 in 78 regular-season games this season. He has finished in the top four in Norris Trophy voting four times in his career.
Craig Smith scored the first two playoff goals of his career and added an assist as the Predators won for the first time since clinching a postseason berth on March 28. Pekka Rinne made 24 saves for the win and even had an assist.
With the Predators' win, the first-round Western Conference series is knotted at one game apiece. Game 3 is Sunday in Chicago.
The Associated Press contributed to this report.