The two strikers combined to devastating effect time and again last season as they finished with 52 goals between them with Suarez's 31 going a long way to seeing him crowned the FWA and PFA Player of the Year.
Suarez finished top of the Premier League goalscoring charts, while Sturridge came in second and the duo became the most feared strike-partnership in the division as the Reds narrowly missed out on the title.
The Uruguayan has since departed for Barcelona in a blockbuster deal worth around £75 million, and Carragher believes that Sturridge will now relish the limelight of being the Reds' main man up top.
Speaking to popular podcast, the Anfield Wrap, Carragher explained that he felt Suarez was too quick to admonish his strike partner at times last season, as the Merseysiders eventually finished second to Premier League winners Manchester City.
Carragher said: “I know with strikers there’s sometimes a little bit of a jealousy thing there, if someone’s scoring. I felt for him at times. I think he got the rough end of the stick at times with him and Suarez.
“I’m not saying they never got on, but they both wanted to be the main man scoring. Now there’s no doubt he’s the man."
Liverpool icon Carragher, who retired after 737 appearances for the club, believes that Sturridge will now take the mantle as the club's main forward, and the ex-centre-back thinks his former teammate can flourish with the added responsibility.
“Look at his record: I think I’m right in saying he’s got more goals after 50 games than any Liverpool player ever," he added.
"If you look at the strikers Liverpool have had that’s an unbelievable achievement… He could be the best striker in the league.”
“Think of the ability he’s got to get goals: He’s got class, he’s got pace, he scores all sorts of different goals, he’s cool when he’s going through on goal, he’s England’s main striker now and he could be one of the best in Europe.”
Despite Carragher's confidence, manager Brendan Rodgers is still expected to bring in a new striker after the deal to add Loic Remy to the squad broke down amid reports that he failed his medical.
Liverpool, who completed the signing of Dejan Lovren for around £20 million on Sunday evening, begin their new Premier League campaign against the Croatians former club Southampton on August 17.