The Reds are unbeaten in their last six games, and were held to a 1-1 draw by Wigan at Anfield on Saturday after a run of four consecutive wins.
But Lucas has urged caution in expectations this season, reminding fans and his teammates that the club was in a relegation battle just a month ago.
“I don’t think it would be clever on our part as a team to talk about the top four because two months ago we were three points off the relegation zone,” said the Brazil international.
“It is clear the team has improved and we are playing better but we have to keep going.
“In football everything can happen but we can take each game at a time.
“We should have killed the game and got three points but we move on and we have two important games in the Europa League now.
“There are still a lot of things to improve but our record is not too bad even with a draw.
“We know we must keep the same level of concentration every game to make sure we finish as high as possible in the table.”