Sturridge has scored ten goals and has reached the mark quicker than any other Liverpool player in the Premier League era.
"Coutinho is a quality player, he's assisted me four or five times since he has been here," Sturridge told the club's official website.
"It's fantastic to be playing with a player of his calibre.
"He's a quality player and I can't praise him highly enough for what he has shown. It's very difficult to do what he has done in such a short space of time.
"I want to say thanks to him because he's made my job very easy and he's been very unselfish. He's put me in many times and it's fantastic to work with him."