Baseball's all-time saves leader will be unable to speak for a week following the procedure, which will take place at New York Presbyterian Hospital.
Rivera said he should begin to recover roughly a week after the surgery.
Rivera, who turned 42 on Tuesday, enjoyed another stellar season in 2011. He finished with 44 saves -- bringing his career total to 603 -- and compiled a 1.91 earned run average en route to eclipsing Trevor Hoffman for the all-time saves mark.
It was his fourth conescutive season with an ERA below 2.00 and a WHIP under 1.00.