Pundit says Liverpool cannot afford to let Lucas leave, and the statistics back it up.
ESPN reported on Monday that the Brazilian midfielder is keen on an exit from the club, but his recent midfield performances have seen him become an important part of Brendan Rodgers side'.
Lucas spent most of the early part of the season on the sidelines, but its no coincidence his success has partnered Liverpool's recent winning streak.
Carragher said: "He's not just got to stay at the club, he's got to stay in the team.
"What he's giving this side now, they're getting victories on the back of it. He's totally different from Stevie Gerrard. Gerrard's a playmaker, he's a destructor, and that's what Liverpool needed. Results have improved massively since he's come in."
Looking at figures in relation to the Premier League alone, Liverpool's results are far better with Lucas starting for them, that without him.
|Match||Wins per game||Draws per game||Losses per game||Points per game||Goals per game||Goals Conceded per game||Games|
|Liverpool||Without Lucas starting||0.25||0.25||0.5||1||1.08||1.58||12|
Liverpool have recorded an average of 2.3 points per game with Lucas in starting in the side compared to 1 without him.
They have scored almost double the amount of goals per game and conceded less, almost half with him in the team.
Early in the season it appeared a January exit may be inevitable for the midfielder, but he is currently in his best run of form since Brendan Rodgers took over as boss, and for the Reds to let him go now could unsettle their recent resurgence which has seen them climb to within five points from the Champions League qualification spots.