Hightower has been nursing a shoulder injury. Cooley, who missed the entire preseason with lingering knee issues, had his left knee drained again this week. He has appeared in all four games this season.
"I'm fine," Cooley told the Redskins' official site. "It's something I'm managing ... I get myself ready to practice and play every day."
Wide receiver Anthony Armstrong (hamstring) and cornerback Phillip Buchanon (neck) are also questionable.
The Associated Press contributed to this report