The Brazilian has made an impressive start to his Anfield career with two goals in five starts, while Suarez has found the net five times himself during that period.
"We always communicate in Spanish on the pitch," said Coutinho. "I spent six months in Spain so I can get by quite well.
"Suarez is a fantastic player and it's an honour to play with him. Together I hope we achieve great things for Liverpool.
"He's excellent, always on the move and that helps you to open the defence more easily. He speaks to me in Spanish. He's always asking me to improve my marking!"
The 20-year-old is also thankful to many of his team-mates for welcoming him since his January move from Inter.
"The South American players are always together at training and we go out for meals together," he added.
"I'm quite shy and having players like (Steven) Gerrard and Lucas (Leiva) making me feel welcome, that's a huge boost for me.
"Lucas has been like a father to me. He gave me all the information I needed on how the club worked."
The Reds still retain slim hopes of forcing their way into the top five in order to secure European football next season and Coutinho believes that is essential for a club of Liverpool's stature.
He said: "Liverpool must play for European trophies all the time. It's very important.
"We will do our utmost in the last few games to get the maximum points in order for us to reach the Europa League."