Austin was scheduled to undergo an MRI exam Monday, according to multiple published reports.
Miles pulled up lame following a 37-yard catch down the sideline early in the second quarter. He didn't return and spent the second half on the sideline in street clothes.
"Randomly on that one play, my other hammy just grabbed up, out of nowhere," Austin said after the game. "It's hard to describe how it feels, but it really hurts."
This isn't the first hamstring injury Austin has endured this season. He battled left hamstring problems during training camp and then aggravated the injury during the Cowboys' Week 2 win over the San Francisco 49ers and didn't return to the starting lineup until Oct. 16 against the New England Patriots.
The Associated Press contributed to this report.