The Catalan giants take on the Hoops in Glasgow on Match Day 4 of the Champions League following their last-gasp 2-1 victory at the Nou Camp a fortnight ago.
Lennon believes that result may force Tito Vilanova and his men to kick into gear early in front of Celtic's home fans in a bid to keep them quiet and put the Scottish champions back into their box.
"Barcelona might think: 'We really have to turn it on and put this team in their place'," said Lennon.
"That's what I'm thinking given that we're playing them so soon after the game at their place.
"It could also be great motivation for us, that the way that game ended is still fresh in the mind and still raw with the players.
"They put so much into the last game and got nothing from it so they want to go one better this time.
"But I'd never be blasé against this Barca side.
"We're tight up against it. I watched them play against Benfica and half an hour into the game they were one up with 70 per cent of the possession. That's exactly what they do to teams."