Wigan have announced Uwe Rosler as their new manager after agreeing compensation with Brentford.
Marseille have parted company with manager Elie Baup in the wake of Friday's defeat to Nantes at the Stade Velodrome.
The reigning French champions have spent much of the summer chasing the Brazilian teenager's signature.
They would appear to closing on his capture, with the 19-year-old centre-back all set to put to paper.
Blanc believes a transfer could be pushed through before the weekend, with Marquinhos due to undergo a medical in Paris on Friday.
Should those physical examinations uncover no cause for concern, an agreement which is reported to be worth around €35million (£30m) will be tied up.
Blanc said: "He is young, very talented and with great potential.
"It's a dossier that's been going on a long time and will come to fruition this afternoon (Friday), I hope.
"This proves that PSG are also recruiting for the future, he offers us a certain guarantee for the future."
PSG have already acquired the services of Lucas Digne from Lille and Edinson Cavani from Napoli during the current transfer window.