They are now in the third-bottom spot which offers a home and away play off with the third placed side in Ligue 2.
Monaco won the title Wednesday when an 11th straight league victory bumped them up to 92 points, six ahead of PSG. They can match the capital club's single-season record of 30 wins in Saturday's final game at Rennes.
Monaco CEO Vadim Vasilyev said Thursday the club's main objective however was to keep 18-year-old striker Kylian Mbappe who has scored 26 goals.
Keeping Ligue 1 Coach of the Year Leonardo Jardim may also be a challenge.
"Leonardo Jardim is the perfect coach for our project," Vasilyev told CNN this week. "We've done all this together."
PSG host Caen on Saturday with nothing to play for after their Champions League defeat to Barcelona and getting pipped to the Ligue 1 title.
Their Brazilian full-back Maxwell admitted the club was hurting on Thursday.
"You have to congratulate them (Monaco). Our start to the season penalised us. What hurt us most was the defeat in Barcelona. It still hurts today," he said.
Angers v Montpellier, Guingamp v Metz, Lille v Nantes, Lorient v Bordeaux, Lyon v Nice, Marseille v Bastia, Nancy v Saint Etienne, PSG v Caen, Rennes v Monaco, Toulouse v Dijon