Young rolled out on a fourth-down play and was about to run for the first down when his right leg stuck in the turf. He wound up throwing an incomplete pass as he went down, then immediately limped to the sideline.
Eagles trainers looked at the back of Young's right knee, and he gimped along the sideline before heading to the locker room with 18 seconds remaining in the half.
Young, a reserve behind Michael Vick, was 14-of-19 passing for 189 yards and one touchdown against New York's backups.
The Associated Press contributed to this report.