The Scottish Premiership side have fallen short of reaching the group stage for the last two years.
The Hoops have failed to reach the group stages of the competition in the last two seasons, having been knocked out in the play-offs on both occasions, but Sviatchenko is hopeful that putting their past failings behind them will help Ronny Deila's men qualify for the main competition when the next opportunity arises.
"Sometimes it's very important to say we want this and make demands, otherwise it won't get better," he told the Record.
"We have to be positive. The fact something happened in the Champions League in the past does not mean it will happen again.
"Of course we will be ready for Europe and do our best when it comes."
With the Bhoys currently six points clear of Aberdeen at the top of the Premiership, it appears that they are well on course to be able to have another crack at the competition next season, and Deila will surely be hoping that Sviatchenko's positive message has an impact on the squad.
With Rangers currently out of the picture in the top flight, winning the league title is arguably not enough for a Celtic season to be considered a success.
Having enjoyed famous nights in recent history where they have claimed some incredible wins - Shunsuke Nakamura's stunning free-kick against Manchester United or Tony Watt's winner against Barcelona are just two of the examples of amazing moments that have got Parkhead rocking in recent years - it has become almost essential for the club to make some kind of impression on Europe's biggest stage.