Sturridge hasn't looked back since arriving from Chelsea in January.
"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," Sturridge told LFC magazine. "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."