Suarez marked his return to Premier League action following his 10-game ban with two goals in the 3-1 win at Sunderland.
Lucas told the club website: "He is showing again just how good he is. He is a world-class player and it is so important to have players like that if you want to fight for good things this season.
"Hopefully he will have another fantastic season for us like he did last year.
"Luis showed with his performance that he is really committed to the team and to the club. He just wants to help us, and we will try to help him too."
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