The right-back, 32, has been heavily linked with a switch from Camp Nou to Parc des Princes all season long due to his contract expiring on June 30.
But PSG coach Blanc does not think the long-mooted transfer of the Brazil international will happen as he thinks the player is engaged in a staring contest with his current club.
"Daniel Alves will not come to PSG," he told BeIN Sports. "I do not think so anyway. He is out of contract but his intention is to extend with Barca.
"It is a game he is playing with his club, he's awaiting their proposal. It's nice for the press to have something to talk about, but there has been no contact that I know of."
The former France boss also discussed the club's interest in Juventus' Paul Pogba, whom they are believed to have had a bid accepted for, though he is aware other clubs are desperately trying to lure the midfielder from Turin.
"I am among those who think that Pogba is the perfect recruit for PSG," Blanc continued. "He interests us but we are not the only ones interested and he will not be free.
"Many teams wants him, though maybe he will stay at Juventus. He has many options right now, it's good for him and his agent. And if Juve sell him it would also be good for them financially."
Irrespective of whether Blanc can convince Pogba or Alves to join France's first-ever domestic treble winners this summer, the coach says the upcoming transfer window will see plenty of fresh blood brought in and plenty of familiar faces leaving PSG.
"There will be arrivals and departures," he added. "When you win, you must regenerate the squad.
"The president wants to do it - he is right and I agree with him. We hope to regenerate in a consistent manner.
"There will be an open door for departures, too. We must be careful with the speed of how we regenerate, especially with the Financial Fair Play regulations, which can be quite heavy."
PSG's 1-0 triumph over Auxerre on Saturday added the Coupe de France trophy to the Ligue 1 and Coupe de la Ligue titles they had already secured in 2014-15.