British media said Liverpool had accepted a bid of 5 million pounds for Lucas, who was pictured on Sunday holding a Lazio scarf at an airport where he was mobbed by fans.
He is Liverpool's current longest-serving player after 10 years on Merseyside but was left out of the squad for Friday's friendly draw with Wigan Athletic to sort out his future.
The 30-year-old started 19 games in all competitions last season and has made a total of 346 appearances -- 247 in the Premier League -- since arriving from Gremio in 2007.
(Writing by Ken Ferris; Editing by Rory Carroll)
