After the game, Cowboys owner Jerry Jones told reporters he has a fractured hand and thinks Scandrick will be able to play with it.
Scandrick had made a big hit on Giants receiver Sterling Shepard but ended up hurting himself in the process.
Injuries have been a problem for the cornerback throughout his career, as he has only completed a 16-game season once in the last six years. He was limited to 12 games last season after missing all of 2015 with a knee injury.
Perhaps the biggest issue is what happens to the Cowboys secondary, which was already thin after significant changes in the offseason. Dan Duggan of NJ.com joked about the lack of established players remaining:
Dan Duggan @DDuggan21
Cowboys are now without the only cornerback Ben McAdoo had heard of: Orlando Scandrick out with a hand injury.2017-9-11 01:36:25
Even with his issues, the 30-year-old has started 39 of 42 games he has played over the last four seasons.
Second-round pick Chidobe Awuzie replaced Scandrick with Anthony Brown moving into the slot. Dallas will hope Jourdan Lewis and Bene Benwikere can help out down the line if the injury turns out to be significant, although both are inactive Sunday.