The strike duo have combined superbly since Suarez returned from his ban for biting Chelsea's Branislav Ivanovic.
The partnership has been dubbed the new 'SAS' - with Blackburn's Alan Shearer and Chris Sutton the original one.
Suarez had a renowned partnership with Klaas-Jan Huntelaar when he was Ajax, but he believes his double-act with Sturridge could be even better.
"Three or four years or more ago, when I played with Klaas-Jan Huntelaar at Ajax, he had a very good partnership with me," Suarez told the club's website.
"Now, with Daniel we are trying our best and we can improve. Maybe in a few years I will be able to say my best partnership was with Daniel Sturridge, especially if we can continue to progress.
"I am so happy because when you have a very good striker, and a very good partner, for defenders it is difficult because they have to give their attention to two players - not just one.
"If maybe two defenders come towards me, this creates space for Danny. This is important not just for me, but for the team and our confidence.
"He is a very good player. He had difficult moments at Chelsea and City, but this is a good time for him and I am so happy with him.
"We are trying for progression. He is 24 and I am 26, so we are trying our best to progress for the future of the club.
"We know in the last few seasons, Liverpool have not been in the Champions League and we know we can help the team challenge for the top four. We will try our best (to improve), but Liverpool is not only Suarez and Sturridge - it's the whole team.
"Whether Danny scores, I score, or Stevie (Gerrard) or another player scores, I am so happy and so are the team.
"When you have one man in the area, it's more important. I am not a real No 9 in the area, but Daniel is more so and that's important for me and the team."