Sturridge is the Premier League's joint leading scorer with eight goals this season, while his strike partner Suarez has six for the campaign in five games.
"It's been an amazing start for us," Sturridge told the club's official website.
"We get on well and that's the most important thing. There is no rivalry there, no hidden agendas. It's great to play with Luis. We give defenders problems and we're both different. It's good to have a strike partner you can bounce off.
"We both go out and work hard to help the team. It's not about the SAS strike-force, it's about the team. The players behind us work so hard, they make our jobs easy really. We just try to do what we do best."
The Reds play Fulham at Anfield on Saturday.