Williams made it through practice Friday for the first time since he injured his left foot during a game in New Orleans two weeks ago.
"I ain't right, but I think I'm good enough," said Williams, who was officially listed as questionable on the Seahawks' injury report.
Williams worked out before last Sunday's game against the Kansas City Chiefs, but he wasn't able to play.
"If he's going, he's going," Carroll said.
"Matt (Hasselbeck) has kind of zeroed in on him as a target that he likes going to, and that's a big deal to the quarterback," Carroll said. "So it'll help us, and hopefully, we can get him out there."
Defensive tackle Colin Cole missed the last four games with a left high ankle sprain. Cole has been able to work out each of the past two days with the training staff and is making progress toward returning.
"He's bounced back quite a bit, maybe quicker that we thought coming out of last week," Carroll said. "Whether he can make it to game time is still in question, but he's getting very close."
Cole is listed as doubtful for Sunday's game.
Tight end John Carlson's status also will be a game-time decision. He is questionable with a hip flexor injury that was aggravated this week, causing him to miss practice Thursday and Friday.
Cornerback Marcus Trufant (lower leg) and linebacker Lofa Tatupu (knee) are both expected to play after missing practice earlier in the week. Each fully participated in practice Friday and were listed as probable.
Copyright 2010 by The Associated Press