Reports on Friday morning suggested that talks were at an advanced stage and with the Ligue 1 side keen to add a new right back to their squad, the deal is now on the verge of completion.
"The clubs have reached an agreement. We will now try and wrap up the deal. It is 80 per cent done, but there are still a few important details. We have yet to discuss the length of his contract," he revealed.
The 24-year-old Netherlands international has previously stated his desire to leave the club and cited PSG's ambition as a major factor behind the potential move.
"Paris Saint-Germain are a wonderful club with a lot of ambition. I've had a great time at Ajax, but the time has come to move on. I've won two Eredivisie titles, a KNVB Beker and have played in the Champions League. I need a new challenge," he told De Volkskrant.
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Van der Wiel previously turned down moves to Roma and Newcastle United, while he has reportedly also caught the attention of Inter.