The former Chelsea striker completed his move to Anfield yesterday.
Sturridge is relishing the prospect of linking up with Suarez in particular.
"To have him as a team-mate is great," he said. "He's a very good player, very talented and rated as a one of the best players in attacking positions in the world right now.
"It's good to be part of a team with him in and I'm sure we'll be able to play well together.
"With Luis, Raheem (Sterling) and the other players that are here, it's going to be great for myself and I'm sure we'll connect well together.
"We all have similar attributes so hopefully we'll be able to create a few nightmares for defenders."