Beckham is currently having a medical in Paris ahead of an announcement by PSG later Thursday.
PSG announced a 5:00 pm news conference at their Parc des Princes ground with the club's Qatari president, Nasser Al-Khelaifi, and sports director Leonardo but no further details were given.
The 37-year-old midfielder has been without a club since ending a five-and-half-year spell in the United States last month after winning a second MLS Cup with Los Angeles Galaxy.
Beckham, who made 115 appearances for England, as linked this time last year, in the corresponding January transfer window, with PSG, but he opted to remain in the United States.
Recently, Beckham, who is married to the former pop star turned fashion designer Victoria Beckham, has been training with Arsenal.
But Arsene Wenger, the Premier League club's French manager, insisted he had no intention of signing Beckham in this transfer window, which closes later Thursday.
Beckham made his United debut aged 17 in 1992 and went on to win six Premier League titles, two FA Cups and the Champions League with the English giants.
His England debut came in 1996 and two years later he was sent off during a last 16 defeat by Argentina at the 1998 World Cup in France, an incident that led to Beckham briefly becoming a hate figure with many English fans.
He subsequently redeemed himself and is now a hugely popular personality in Britain, where he played a starring role in the Olympic opening ceremony.
Under Qatari ownership Paris Saint Germain have joined the ranks of the biggest spenders in world football and already boast a galaxy of top international talent including flamboyant Swedish striker Zlatan Ibrahimovic and recently-acquired Brazilian star Lucas Moura.