The wide receiver sustained a rotator cuff tear during practice with the team earlier this week.
In a statement, head coach Mike Tomlin said: "During Thursday's practice, Plaxico suffered what appears to be a significant shoulder injury.
"He is scheduled for surgery on Monday, and we will re-evaluate the injury at that time. I will provide an update as soon as more information becomes available."
It was initially reported that the injury could prevent Burress from playing any part in the 2013 NFL season.