Marsh believes Lucas has won over the Anfield fans.
He told liverpoolfc.com: "He's an important factor in the team, not just because of the way he plays, but also how he conducts himself around the place.
"He's shown a great deal of character. It's never easy to go out and play in front of 45,000 people when you know one or two don't fancy you because you're not playing at your best.
"But he's won the fans over - a little bit like Jordan Henderson has.
"There were one or two who weren't convinced he [Henderson] had the right credentials to play for Liverpool at the level he is, but like Lucas, he's shown everyone if you work hard enough at your game in training and take that into a game, the fans will take to you."