The striker, who has been struggling with a knee injury, is expected to feature for the South Americans in Sao Paulo after taking part in full training on Monday.
However, Sturridge believes that it would be wrong for the Three Lions to place all of their attention on his Liverpool teammate.
"It's not just about Luis Suarez," he is quoted as saying by BBC Sport. "It's a team game and not about individuals."
England and Uruguay head into the match having both lost their opening games of the tournament.