McSorley injured his back picking up a box on Saturday, just hours before the Ravens' preseason opener. He played with back spasms, completing 11-of-18 passes for 86 yards and one interception.
"He wrenched it in some way," Ravens coach John Harbaugh said after Monday's practice. "He's going to be out for a few weeks with that situation."
McSorley, a sixth-round pick in the 2019 draft, has thrown 10 passes in three NFL games. Huntley, who went undrafted last year, led a winning, fourth-quarter drive in Saturday's preseason opener.
The Ravens signed quarterback Kenji Bahar for an additional arm in training camp.