The Ivory Coast international, who stood out for his country in an otherwise indifferent World Cup, was heavily linked with Arsenal as they searched for a replacement for Bacary Sagna, after he joined Manchester City.
However, the interest waned, with Arsenal signing Newcastle right-back Mathieu Debuchy instead.
And on Tuesday night, the 21-year-old released a Snapchat sporting a PSG polo shirt.
With Christophe Jallet set to leave PSG for Lyon, coach Laurent Blanc was keen to add a new defender to his squad to fight it out with Gregory van der Wiel in the right-back position.
Aurier, who came through the ranks at Lens before joining Toulouse in the summer of 2012, is expected to sign a five-year contract.