Suarez marked his return to Premier League action following his 10-game ban with two goals in the 3-1 win at Sunderland on Sunday and Lucas says the Uruguay international is critical to Liverpool realising their ambitions this season.
He 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."
Lucas also expects Suarez to strike up a potent partnership with Daniel Sturridge, who also scored at the Stadium of Light and set up both of Suarez's goals as Liverpool moved second in the table.
"When Dan arrived here, within a few months Luis got the ban, so they didn't have much chance to play many games together," added Lucas.
"But you could see how well they linked up. The understanding between them is really good and it will only get better.
"It will improve over the course of the season and hopefully they will keep helping us with goals and assists.
"It was really important for us as a team that we got back on track with a win."