Thigpen likely will make his first NFL start since 2008, when he was with Kansas City.
"He has made some progress," Sparano said. "He's feeling a little bit better. We'll see."
Thigpen took only scout-team snaps as the third-string quarterback this season. Following injuries Sunday to Henne and Chad Pennington, Thigpen entered the game in the fourth quarter and closed out Miami's victory over Tennessee.
Thigpen said he's confident he can play well even with little preparation.
"It's definitely a challenge, but no excuses made and no excuses accepted," he said.
Copyright 2010 by The Associated Press