Hinrich has been hampered by injuries for much of the season. He is averaging 7.0 points in 40 games.
He started Chicago's 104-88 victory at Milwaukee on Wednesday and finished with six points in 32½ minutes.
The Bulls said Hinrich's status "will be determined once all medical information has been gathered."
Though the Bulls' notes said Noah had a right foot injury, coach Tom Thibodeau refused to specify before the game, calling it a "lower-body" injury. Pressed further, he said the All-Star was "nicked up."