Suarez, who currently plays for Lucas' former club Gremio, is a teammate of Nunez with the Uruguay national side and a big champion of his fellow forward.
Nunez's first season with the Reds saw him net 15 times in all competitions, with Jürgen Klopp recently explaining why he's confident there's more to come from the 24-year-old in the future.
Detailing a recent conversation with Suarez to Liverpoolfc.com, Lucas said: "He told me that Darwin is a shy boy, very calm, very quiet, but a player that wants to improve all the time.
"He's a goalscorer, we have no doubt about that. With his pace as well, I think it will be important to help him achieve what he wants this season.
"Luis has done really well and I'm very close to him now here in Brazil. Darwin in his first season, I think he was great.
"We know how difficult it is to come and play, the demands are really high, the way Liverpool play is different. So I think he's done well.
"Of course in the second season we are all looking forward to seeing him improve again, because he's young, he's fast and can score goals.
"Hopefully this year will be an even better season for him."
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