PSG squandered a 3-1 first leg quarter-final lead against Chelsea in last season's competition as Mourinho's men won the second leg 2-0 at Stamford Bridge to progress on away goals.
Demba Ba's late winner sent Mourinho, a coach who can sometimes goad the opposition, sprinting down the touchline in celebration and Blanc has told his players to expect more of the same this time.
"I know Jose Mourinho a bit and I know he'll raise the temperature on the pitch in this game," Blanc told a news conference on Monday.
"My players need to be cold, they need to be calm and they must not react even when it is hot out there. We can't afford any yellow cards."
Blanc's side missed the chance to go top of Ligue 1 on Saturday after conceding twice in the last three minutes to draw 2-2 at home with Caen.
"It was a catastrophe at the weekend," the Frenchman said. "I think that every time there is something negative at PSG I am always held responsible.
"I will gladly take the responsibility for this if this means my team is a lot more focussed on the Chelsea game. Anything can happen and I am always responsible for it so c'est la vie."
PSG are without injured trio Serge Aurier, Lucas Moura and Yohan Cabaye while Blaise Matuidi, Thiago Motta and Marquinhos will be assessed after training on Monday.
Despite struggling with injuries Blanc is confident his big-name players, including talismanic striker Zlatan Ibrahimovic, will help them reach the last eight for the third season in a row.
"I think the two coaches will expect a lot from their teams and a lot from the leaders of their teams," he said.
"In big matches it's great players and great leaders who lift teams and even more so when you're a goalscorer like him (Ibrahimovic).
"I expect a lot from him but also from all the players," added Blanc.
(Reporting by Michael Hann, editing by Tony Jimenez)
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