The Texans' leading rusher, Miller injured his ankle in the first quarter of last Saturday's win over the New York Jets. He left the game for good in the second quarter, finishing with 8 yards on three carries.
Coutee hasn't played since Week 12 due to a hamstring injury. Coach Bill O'Brien called Coutee day-to-day earlier this week. Dunn was limited in practice all week with an ankle injury.
The Texans can clinch the AFC South with a win over the Eagles on Sunday or losses by the Indianapolis Colts and Tennessee Titans. Houston also leads the New England Patriots by one game for a bye into the divisional round.
The Associated Press contributed to this report.