The Cowboys said in a statement that Romo is "expected to undergo a six-to-eight week period of recovery and treatment before returning to football related activity."
It was decided last week that Romo would undergo a Mumford procedure. The surgery requires the distal part of the clavicle to be shaved, creating space between the shoulder joint to relieve potential pressure from a similar hit that led to Romo breaking the collarbone twice in 2015.
Hall of Fame running back Emmitt Smith had a similar procedure when he played for the Cowboys.
Romo had been contemplating having a plate inserted into the collarbone for added protection. He has broken the collarbone three times since 2010. He should be ready for the organized team activities that are scheduled for the end of May and early June.
This will be Romo's third surgery since 2013. He underwent two back operations in 2013, one in the offseason and one before the final game of the regular season.
Romo, who turns 36 in April, played in just four games in 2015, leading the Cowboys to a 3-1 record. He had five touchdown passes and seven interceptions before the injury.