The Blues lost at home to Liverpool for the second time in nine days after going down 2-0 in the League Cup thanks to goals from Maxi Rodriguez and Martin Kelly.
A run of bad results has seen Chelsea drop out of the top four in the Premier League and also lose to Bayer Leverkusen in the Champions League, leading to pressure on manager Andre Villas-Boas.
But Sturridge believes all the negativity surrounding the club needs to be ignored so that the team can play their natural game and try to get themselves out of their bad spell.
"The most important thing is for us to go out there and play our natural game," he told the Daily Express.
"When we worry about the anxieties and the stresses, worry about what the fans and the pundits are thinking, that is the one thing that can send the team into a downward spiral.
"So it is important not to worry. We lost a bit of momentum - we had some big games which we lost, but we were unfortunate in how we lost those games, because we played well. I just don't think we have had the luck.
"When we perform as a team, we tend to win. Against Wolves we performed very well and I am so happy that we kept a clean sheet because that was very important for us as well.
"We know we could have performed better in the games we have lost and we want to perform the way the manager wants us to.
"Hopefully what happened against Wolves is a sign of things to come in the next few games."
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