At the 2012 tournament, Suarez deliberately handled on the goalline to prevent Ghana from equalising in their quarter-final match, with Asamoah Gyan missing the resultant penalty to see Uruguay progress.
Suarez has also been accused of diving to win spot kicks, but Sturridge has vowed that he would never resort to cheating as it is not in his nature, nor the nature of English football.
"I'm going to do anything in my power to win this game, provided it's within the rules of the game," he told reporters. "But I'm not going to dive and I'm not going to handball a goal-bound shot because it's not in my nature.
"We're an honest country and go about our business in an honest way. No disrespect to other countries. But we play the game within the laws. We don't bend the rules. We play by the book.
"There's nothing wrong with that. We've gone a long way doing that, from 1966 when we won the World Cup, playing within the laws. That's how I was brought up. We don't like to cheat to win. We want to play in an honest way."
On Monday, injury doubt Suarez was passed fit for the Sao Paolo clash, in which both sides will be looking to bounce back from defeats in their opening games.