The 24-year-old Frenchman has spent just one season in the Premier League, having moved to White Hart Lane from Montpellier at the end of last year’s August transfer window.
PSG are reported to have agreed a £6m fee for the midfielder who cost Spurs £4.7m in 2014.
Stambouli made just 12 league appearances for Tottenham and Blanc told Le Parisien: “Benjamin will definitely join us Monday afternoon.
“He has to pass a medical test and once this is the case he will be with us. He could play on Tuesday against Fiorentina but needs to do collective training with us before.
“He followed a normal preparation with his former club, even if he did nothing for two-to-three days.”