"Might as well crown them, right?" Williams said with a smirk Tuesday. "They're undefeated. It's December. We don't have a chance."
Then with a serious tone, Williams added: "This is a two-round fight, and this is just the first round, in my eyes. I don't know about everybody else, but I think we're going to see this team in the playoffs down the road."
After receiving messages saying he guaranteed victory, Williams said Wednesday that wasn't the case.
"If I'm going to guarantee a victory, I'm going to say, 'Hey, we're going to win this ballgame,' and that's not what I said. That's not in my blood. I experimented with that my rookie year [in Detroit] and it didn't go over too well. So there's no possible way that I'm going to say I'm going to guarantee a victory.
"All I said was if we pack our bags, offense, defense and special teams, we should be victorious. Now that doesn't mean we're going to win the game."
Williams, who has 36 catches for 578 yards and six touchdowns, said he was trying to pump up the game like boxing promoter Don King would.
"It's a big game," Williams said. "It's a quote-on-quote, the only big game the Saints have left on their schedule to be undefeated, which is big for them. This is a way to promote this thing and get this thing blown up.
"I've been laying under the radar. It's no need for me to say anything. I'm not guaranteeing anything. The guarantee didn't come out of my mouth."
Cowboys receiver Patrick Crayton said Williams was expressing confidence that his team can win in the Superdome.
"That's the way we took it," Crayton said. "I think that's the way we feel as a team. If we're on top of our game, if we play the way we're capable of playing, there's no reason why we shouldn't come out of this game victorious."