Scandrick will have a plate put in his left hand Monday to stabilize a broken third metacarpal, according to ESPN.
Dallas Cowboys coach Jason Garrett said after the game that he is optimistic Scandrick can return "sooner rather than later" but will not play in Week 2 against the Denver Broncos.
The 30-year-old Scandrick suffered the injury in the second quarter and was ruled out after getting an X-ray of his hand. He watched the rest of the game on the sideline with his hand taped.
In 2016, the 5-foot-10, 196-pound Scandrick played in 12 games with 10 starts, recording 46 tackles, two sacks, one interception, three forced fumbles and eight passes defensed.