PSG coach Laurent Blanc said on Friday that Cavani, who has scored six goals in his last six appareances in all competitions, was doubtful after being allowed to travel to Uruguay to deal with a personal matter.
The Uruguayan daily El Observador said on its website on Friday that Cavani was sorting out divorce issues in Montevideo.
Cavani, who has scored 12 league goals in France since his French record £52 million transfer from Napoli, left for Montevideo after scoring twice to help PSG beat St Etienne 2-1 on Wednesday to reach the French League Cup quarter-finals.
PSG can call on Sunday on talismanic striker Zlatan Ibrahimovic, who returns after missing the extra-time win over St Etienne through suspension.
They will open a five-point lead over second-placed Monaco if they beat Lille, who are four points off the pace in third.