The Uruguay international joined Barcelona in a €88m deal earlier this summer and the England striker believes he can replace the departed 27-year-old in 2014-15
Sturridge scored 21 Premier League goals last season, 10 fewer than the now-departed Suarez, who left Anfield to join Catalan giants Barcelona earlier this summer.
And the England star is aware he will have to improve to fill the Uruguayan's boots, but he believes the responsibility should not fall squarely on him, with a number of players - including Lazar Markovic, Rickie Lambert and Adam Lallana - joining the club following Suarez's departure.
"In terms of next season for the goals, I'll step up myself and everyone has to," Sturridge is quoted as saying by The Sun.
"It was a unique partnership and I wish Luis all the best. We shared some good times together.
"We created history with our goals and became the most successful Liverpool partnership in one season.
"But we will move forward as a team. It's everyone's job to do that, the new boys who've come in as well as the players who have been there all season."
Liverpool finished runners-up to Manchester City last season but have spent big this summer in a bid to go one better in 2014-15 and Sturridge is excited by the signings made by manager Brendan Rodgers.
"Liverpool's a huge club, an elite club and people don't realise that," he said. "This is a huge club, with a lot of players who can step up. Luis has left. That's football, he's moved on.
"For me, with the signings the manager has made - exciting players, young players, up-and-comers as they call them - we are going to have that winning mentality.
"Players come and go in football, that's the nature of the game. Some will remain at a club their whole career, like Stevie Gerrard, and some will move.
"It doesn't matter. We will still have the mentality to move forward, be an exciting squad, playing attacking football and that's the Liverpool way. We will continue to do that."