The former Chelsea striker, who joined the club in January this year, has faith in his manager's methodology and is convinced it will lead to silverware at Anfield
The former Swansea boss has attempted to transform Liverpool's style of play from that of previous managers and Sturridge is confident that it will lead to success.
Liverpool ended the season strongly and the 23-year-old is hoping Rodgers' second season can start as well as his first finished.
"With the philosophy that the manager has, we should be challenging for honours," Sturridge told the official club magazine. "I think it's going to be great for us in the future and we can move forward.
"I think we did things last season, both prior to me coming here and then with my help, to deliver some better statistics than we have had in previous years in terms of goals and attacking play.
"It's exciting to be part of that philosophy and the new regime that the manager is forming for us to move forward as a club."
Sturridge's arrival saw him break records at the club, becoming the the fastest Liverpool player to reach 10 goals in the history of the Premier League.
"It's the reason why the manager signed me and Philippe Coutinho as well as the players he signed at the start of the season," he continued. "The aim was to help the team get back to where it belongs.
"We'll all be doing everything in our power to make sure that Liverpool is a club that is challenging for Premier League titles because the fans have been waiting for that for a long time and hopefully next season we'll be in the running.
"When you play in the Premier League, everybody's goal is to lift that trophy, to have the celebrations and to know that you've succeeded and been a champion over everybody else in the division.
"So the main aim for next season and the seasons ahead is to try and help the team do well in the Premier League. I'm sure with the philosophy that the manager has, we'll be able to do that."