Carragher believes the 24-year-old's strength of character will help his rehabilitation.
"I have been there in terms of receiving criticism," said Carragher. "High standards are expected when you play for one of the big clubs and there are plenty examples of players who have gone missing after realising the demands on them.
"But you can tell Lucas is a top player as he never lets that bother him. He has just got on with it and plays in nearly every game. If he has a little knock, he will always try and carry on, doing his best for us. There are lots of different characters but you can't fault Lucas."