PSG, who are owned by Qatari investors, are looking to spend big in the summer transfer market.
But Lucas’ agent believes the French side will struggle to sign his 18-year-old client in the summer.
Wagner Ribeiro told L’Equipe: “I was contacted by the Qataris about a week ago.
“We received a good offer from the Qataris, but the club doesn’t want to sell.”
Reports claim Sao Paulo want around £72million for the midfielder.
Lucas has recently been linked with the likes of Bayern Munich and Manchester United.