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.
|2/1||Liverpool are 2/1 with Bet365 to win a major trophy in 2014-15|
"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 is 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."