The French giants have called a press conference for Wednesday afternoon at 4pm local time (1400 GMT) at the Parc des Princes, at which they are expected to unveil the 34-year-old.
The Qatar-owned outfit will then jet off to the United States for a pre-season tour.
According to Le Parisien, Alves passed a medical in the French capital on Tuesday and will sign a two-year deal with last season’s Ligue 1 runners-up.
Alves is a free agent after leaving Italian champions Juventus, whom he helped get to last season’s Champions League final.
He had been expected to team up with his former Barcelona coach Pep Guardiola at Manchester City, and beating the English side to the Brazilian’s signature is a major coup for Paris.
PSG’s one confirmed close-season signing so far is the Spanish left-back Yuri Berchiche from Real Sociedad for a reported 14 million euros ($16 million, £12.5 million).
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