Celtic Park since 2006, so the Italian champions and current Serie A leaders have been warned.
"I think playing against arguably the best team in the world (Barcelona) is a tougher game on paper but I think we're playing for something a lot bigger," Celtic playmaker Kris Commons said.
"The prize at the end of it is bigger.
"It's a luxury tie for us but we know we are more than capable of winning the match. We fancy ourselves over the two legs - we're quietly confident."
Celtic relied on set pieces and counterattacks to not only beat Barcelona 2-1 at home - reducing pop star and loyal fan Rod Stewart to tears in the process - but also come within a stoppage-time goal from Jordi Alba of earning a draw at Camp Nou in group play.
The same pragmatic approach is likely to be utilized against Juventus, which is expected to dominate possession in both legs - especially with classy Italy midfielder Andrea Pirlo recovered from a thigh strain that he sustained on international duty.
Juventus warmed up for the match with a 2-0 win over Fiorentina on Saturday, putting the team's league campaign back on track after struggling somewhat in January.
"We had a lapse a few weeks ago but we've bounced back great," defender Federico Peluso said.
"That's our strength. Now we've got to face Celtic with the same spirit."
To get to the knockout stage, Juventus topped a tough group containing reigning champions Chelsea and Ukrainian champions Shakhtar Donetsk, one of the top emerging teams from eastern Europe. The Italians were one of four clubs to finish group play unbeaten.
However, they probably won't have come across an atmosphere quite like the one they will experience on Tuesday.
Gerard Pique and Xavi Hernandez were two of the Barcelona players to have been taken aback about the noise levels coming from Celtic's supporters in the 60,000-seat stadium during the Nov. 7 game.
"No words to describe the atmosphere at Celtic Park," Pique said on Twitter soon after the match.
Commons said the backing can't fail to help.
"Juventus are no mugs, it's not like they've never seen this sort of atmosphere before," he said.
"They get paid incredible wages to deal with that and play in these arenas but the atmosphere gives us a lift and increases our game. I think that's why we are more than capable of beating the best teams in Europe - because of our fans."