Both Silva and Cavani have been linked with other clubs in recent months, but it has now been confirmed that they will leave as free agents.
PSG director Leonardo reveals he hopes to keep the players until the end of August for the remainder of the 2019/20 UEFA Champions League campaign.
"Cavani and Thiago Silva? Yes, we are coming to the end," Leonardo told Journal de Dimanche. "The idea is to continue playing with them until the end of August.
"It was a very difficult decision to make; these are players who have marked the history of the club. Their stories were so beautiful. But yes, we are coming to the end.
"We had to make a logical decision, economically speaking and with regard to the generation that is coming through.
"Maybe we are wrong, I do not know, there is never a perfect moment. Now the Champions League is still in sight and the idea is to continue competing with them until the end of August. How it can be done is not yet clear [legally]."