The England international is the Premier League's top scorer with six goals so far this season and has formed a formidable partnership with the Uruguayan at Anfield.
Sturridge says that he finds it easy playing with Suarez, who has struck three times already despite only returning from a 10-match suspension in September.
"He's a nice guy and we have great chemistry on the field - and we get on well off it, so it's good," he told Life and Times.
|5/1||Luis Suarez is 5/1 with Bet365 to be the Premier League's top goalscorer
The striker was also quick to praise captain Steven Gerrard and revealed how the midfielder had helped him settle into life at Liverpool.
"[Gerrard] is one of the people who gets on with everybody and he's an incredible man," Sturridge enthused. "Since I've been here, he's taken care of me and helped me out a lot in terms of settling into the club, settling into the city and it's great to have him around.
"He's been one of the world's best players for many years and I've got so much respect for him."
Liverpool have enjoyed a superb start to the season, sitting second in the table after seven matches, and Sturridge says that the club are keen to fight for top honours once more.
"It's not intense but there's a strong desire for success and everybody wants to help Liverpool get back to the winning ways that they had in the past and that's up to us," he continued. "Everybody wants to have success. It's not about getting by and being content with second or third.
"It's about having a winning mentality and that's something the manager's instilled in us now, where everybody's got that feeling to want to win every game."