Williams tweeted Sunday that he'll "b back n no time" because he's a fast healer.
"I'm a supreme being so the recovery is cut in half," he wrote.
The versatile Williams has led the Broncos in tackles in three of the last four seasons, and his teammates said they expect him to work on getting back as hard as he works on the football field.
"It's unfortunate because he's one of our leaders," Champ Bailey said. "But you've got to just keep on ticking and he knows that. He's going to do whatever he can to get back as soon as possible. He's got to make sure he takes care of himself."
Williams left the stadium after the game in a sling with his right arm heavily taped from his wrist to his biceps.
Bunkley, who said he wasn't seriously injured, was cut-blocked by Seattle guard Robert Gallery, but declined to call out Gallery for a cheap shot.
"It's the game, man," Bunkley said. "We're in the trenches, and things like that are going to happen. I'm not going to say anything is dirty. That's just the way the game is played."
Safety Brian Dawkins said he hopes to get both Williams and Bunkley back by the Sept. 12 season opener.
"There's a next-man-up mentality but you definitely miss those guys when they go down," he said.
Information from The Associated Press contributed to this report.