The move reunites the 26-year-old with his boyhood club, after the Spanish international got his break in football having come up through the youth set up at the Nou Camp.
Traore joined Barcelona when he was eight, making his first-team debut nine years later, before switching to the Premier League where he represented Aston Villa and Middlesbrough ahead of his move to Molineux.
The winger has seen much of his game time during the first half of the 2021/22 season come from the substitutes bench, as he looked to make an impact later in games, culminating in his first goal of the campaign against Southampton earlier this month.
Wolves’ technical director, Scott Sellars, said: “Adama has always acted with the utmost professionalism, however it is no secret that we have not been able to agree a new contract with him, despite protracted negotiations, and his desire at the moment is to play football elsewhere.
“Everyone knows Barcelona is a city, and club, very close to Adama’s heart, so it is a dream move for him. We have also agreed a very healthy option in the deal should Barcelona wish to make the move permanent this summer.
“We wish Adama the best of luck in Spain, and hope that he plays regularly, has great success and shows everyone what he is capable of.”