The Brazilian midfielder may be set to depart the club after eight years at Anfield.
The Brazilian is the club's longest serving senior player, having signed in the summer of 2007, just ahead of Martin Skrtel who joined six months later, but it appears that the Reds are eager to continue their revamp at Anfield, which could see Lucas follow Steven Gerrard out the exit door.
The Mail say the Reds are open to offers for Lucas, as well as Mario Balotelli, Fabio Borini, Rickie Lambert, Luis Alberto and Jose Enrique.
Though Lucas has been making fairly regular appearances during Brendan Rodgers' three years in charge, it could be argued that the former Gremio man hasn't been quite at the top of his form since the cruciate ligament injury he suffered in 2011 that ruled him out for a large part of that season.
He started just 16 times in the league last season, and has failed to make more than 24 starts in any of the campaigns since he suffered his injury.
What would a Lucas exit mean?
The 28-year-old's possible departure could possibly open up a space for Emre Can to move up and claim a regular role in the Liverpool midfield. With Gerrard playing deeper last season, and Lucas also more comfortable in defensive midfield, the club would have lost its two more defensive options in the middle of the park.
Though James Milner has arrived at the club, it won't have been to play that role, so there is certainly room for Can to move into what many feel is his more natural midfield position, having impressed at times at right centre back in the second half of last season.
There could yet be scope for Liverpool to bring in another central midfielder, if Rodgers decided he wanted further reinforcements in that position