The Uruguayan is no stranger to playing deep or out wide, having occupied both positions for Ajax and at international level.
The 25-year-old moved to a deeper role in the second half against Manchester United last weekend, after the introduction of Sturridge, and insists he has won't complain if asked to do so again.
"Every player needs to play firstly where he feels most at home, but also where the manager tells him to play," Suarez told Liverpool's official website.
"If Daniel [Sturridge] has a position where he likes to play, I'll do it [alter my own position] without any question at all.
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"All the players here are ready to help the team and play in the position where the manager asks us to play."
Sturridge has already scored two goals since making the switch from Stamford Bridge to Liverpool on January 2, and his fellow-striker is impressed with what he has seen from the former Manchester City and Chelsea player.
"He's settling into the squad very nicely," said Suarez. "He's come here to do the best he can for the club.
"He's a forward and so he's come here to score and create goals. In the two games he's played he's shown what a quality player he is.
"The manager is working with him and I think he will bring a lot of happiness to Liverpool Football Club and let's hope we can enjoy him being here for a long time."