Sensabaugh suffered the injury late in the first half, prompting a locker room visit, after which he returned to the sidelines with his arm in a cast. He was replaced by Pat Watkins, who made six tackles.
According to the Dallas Morning News, Sensabaugh suffered the same injury in college and missed just one game.
"I should be OK," said Sensabaugh. "I think I'll miss maybe one game and the bye week will help."
The injury certainly could have come at a worse time; Dallas will face the 0-4 Chiefs in Kansas City next week before having the bye in week six. If Dallas falls to the Chiefs, one injured safety will be the least of their concerns.
In the mean time, Pat Watkins will step in for Sensabaugh.
"I don't know what's going to happen with Gerald," Watkins said, "but I know for the next couple of weeks I've got to be on top of my game 100 percent."