The Uruguayan opened the scoring against Crystal Palace at Anfield with a determined dribble and precise finish, while his striking colleague Danny Sturridge smashed home the second shortly after.
"We are so happy because it's most important - here at home you need to win," Suarez told Liverpoolfc.com post-match.
"The performance was brilliant today; we played very well with possession of the ball. Maybe in the second half we were a little relaxed but it was important we won.
"When you have one big striker and a very good player in Daniel, I am so happy.
"He tries his best for the team and tries his best to play with me. We tried our best to win the match. Today the squad is so happy."
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