The Mirror reports that Pulis is ready to make a £4million bid for the Brazil international.
Lucas came close to joining Stoke in the summer, but Liverpool boss Roy Hodgson wanted to keep the midfielder at the club.
Hodgson could be prepared to sell Lucas in the January transfer window in order to raise funds.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.