Liverpool returned to the top of the table after a convincing 3-1 victory over newly-promoted Crystal Palace on Saturday to notch their fifth victory in seven league matches this season.
And Suarez insisted there is no rivalry between himself and the England striker, explaining the pair are desperate to continue to build on their blossoming strike partnership.
"When you have one big striker and a very good player in Daniel, I am so happy," Suarez told LFC TV. "We compete for the shirt of Liverpool and we try our best for the team, not for me or him.
"He tries his best for the team and tries his best to play with me."
"Last season we didn't play very well and we finished in a bad position and this season we'll try to be better," added the 26-year-old.
"If we stay with the same football style and try for the win every game, we can try for the top four."
Liverpool summer signing Kolo Toure agrees with the Uruguayan and claims the duo are the most potent strikeforce in the Barclays Premier League.
"I think they are top strikers. To have them is massive for us," said the Ivory Coast defender.
"They are the best pair in the league definitely. They work well together, they respect each other and they are so strong up front.
"Suarez is a great player and that is why we wanted him to stay because he is a big striker and to have someone like him and Sturridge is important. Their job is to score goals."