Polygon it's sending customers a download code for one of Dead Rising 3, Ryse: Son of Rome, Forza Motorsport 5, and Zoo Tycoon.
"While a replacement console is on its way, we want to ensure our advance exchange customers can stay in the game," reads a Microsoft statement provided to Polygon. "We will provide each of them with a free digital download of one of the launch titles published by Microsoft Studios."
The news follows confirmation from Microsoft that "a very small number of Xbox One customers" had procured consoles with broken disc drives. Microsoft is sending these customers replacement consoles, but since these defective consoles can still play games stored on their hard drives, users would be able to play downloadable games while they wait for their new systems to arrive.