The tournament has already witnessed two contrasting games as England scored 311-8 despite a two paced surface in their thumping win over South Africa at The Oval.
But on Friday, the West Indies shot out Pakistan for just 105 in their seven-wicket win at Trent Bridge.
"There has been a lot of talk about really high scores but I think there will be a number of games where that isn't the case and it will require adjustment," Williamson told reporters on Friday.
"Guys maybe will have to push harder on a particular surface on a given day, but equally it might be about adjusting to what one-day cricket used to look a little bit like. Scores that are a bit lower and much more of that scrappy type.
"There will not be one way to play. We know that not every game will be a 350 score, and it's important to be made aware of that as we go throughout this tournament."
Despite a convincing 3-0 series win over Sri Lanka on home soil earlier this year, Williamson warned his side against complacency.
"I don't know how much the past really counts for as we come into a tournament. It is on the day and we know in this competition that every team can beat any of the other teams," Williamson said.
"We are certainly treating all of our matches like that and want to bring the focus back onto the cricket we want to play.
"We know the Sri Lanka side is a bit different to the one we played at home, but we have no doubt that they are a tough side."
New Zealand’s chances received a boost as Tom Latham has recovered in time to be available for his team's tournament opener.
"Yeah, so fairly exciting for Tom. He's progressed nicely and will be available tomorrow, which is great news. He's very much looking forward to that," Williamson said.