"We are in a difficult moment, but we are the ones on the pitch and it is up to us to improve," said Lucas.
"Rafa is a really good manager and now we have to try to win for ourselves, but also for him because he has been really good for us and for me in particular.
"He gave me opportunities and he gave me confidence, so now I want to pay him back by playing well, working really hard and performing as he expects me to.
"I have no doubt that we can win trophies. It is too early now to talk about the title. We know everyone wants us to win it because it has been so long since Liverpool were last champions, but we have to think of each game.
"It is all about winning games, building up momentum and then maybe we can talk about being in the title race come January."