The 10-year NFL veteran was injured during six-yard run in the second quarter of Friday night's 16-10 preseason win over the Philadelphia Eagles.
He completed one pass for three yards before leaving the contest.
The Pittsburgh Post-Gazette reported Saturday that Coach Mike Tomlin said Batch likely will miss 4-6 weeks, with the Steelers looking to sign a veteran backup.
The newspaper added that Byron Leftwich, a former starter for Jacksonville and Atlanta, was scheduled to arrive in Pittsburgh this weekend for a workout.
Tomlin described the play which ended with Batch's injury.
"There was a miscommunication between (him) and (running back) Mewelde Moore," he said. "The reality is he ended up with the football, tried to make the best of a bad situation, made a nice play. The competitor in him probably got the best of him, and he lowered his shoulder."