Luiz has been linked with the defending Ligue 1 champions after falling behind John Terry and Gary Cahill at Chelsea.
But, as reported by Le 10 Sport, Brazil captain Silva may look to block the move if it means the end of his partnership with current PSG centre-half Alex.
A move for Luiz would more than likely signal the end for Alex at PSG, with the French champions eager to partner Brazil internationals Luiz and Silva at the heart of their defence.
But Silva, who has nothing against Luiz, enjoys playing alongside Alex and reportedly does not want this partnership broken up.
Alex, a former-Chelsea defender, is out of contract at the end of the season and he turns 32 in the summer.
PSG want to look towards a more youthful lineup, which could spell the end for Alex who is the oldest member of PSG's regular starting lineup.
He has plenty of admirers around Europe though, with AC Milan in particular thought to be keen to snap him up on a free transfer.