Barcelonas travel to Parkhead well aware of the threat posed by the Scottish champions, having lost there in last year's competition.
The Catalan giants fell 2-1 to Celtic, with former player Victor Wanyama, who moved to Southampton in the summer, striking first before Tony Watt made it two.
Barca's goal that night came from Lionel Messi, who Barca will be without tonight after he suffered a hamstring injury during their 2-0 win over Almeria in La Liga.
Alves, who played the full 90 minutes against Celtic last time out, is wary of the challenge that will be ahead of his side, and knows that they will have to be ready for a battle.
"Celtic have surprised us in the past year and we need to avoid that again," said Alves when speaking to Sky Sports.
"This match will not be easy because they were defeated in the first game and another defeat would nearly mean goodbye to the competition for them. Barca are superior in all aspects but in the Champions League, a comfortable match never exists. We go to Glasgow expecting a serious match, but to add three points.
"Without doubt, we're the favourites. I'm convinced that the situation a year ago will not be repeated. We've learned from that experience. The plan for us at Celtic is to break through the line in front of the defenders and behind the midfielders. And also to score the first goal."
Barca got of to the best possible start by beating Ajax 4-0, thanks to a Messi hat trick, but Celtic travelled to the San Siro to face AC Milan - who came out 2-0 winners.
The Brazilian defender, who was part of the squad that won the Confederations Cup in the summer, admits his side will take lessons from how difficult it was for MIlan.
"I have viewed the video and it was really difficult for Milan," added the full-back.
"Only in the end phase of the match did they win it, and that has to be a warning for us. The key to the match is possession. We don't want to be made to play Celtic's way, so we must show our own characteristics on the pitch. If we pass the ball well, we'll be the winners."
Celtic Park is expected to be in full voice for the arrival of the Spanish champions, and that is something Alves is looking forward to hearing. But, rather than add pressure on the La Liga giants, the defender is confident it will spur Gerardo Martino's side onto better things.
"The atmosphere at Celtic Park is always great," added Alves. "With the music and songs from the crowd. For a footballer, that's an extra incentive and never a problem."
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