The Bhoys host Swedish club Helsingborgs in the second leg of their play-off following their 2-0 away win last week and star defender Mulgrew is intent on strutting his stuff on the biggest stage of club football.
"This could be one of those special nights at Celtic Park," he said ahead of tonight's meeting.
"Come the final whistle, we hope to be in that Champions League draw - but there's plenty of work to do to make that happen.
"It would be massive to be part of the team that gets back to that stage. Watching Celtic in the Champions League when I was younger was a brilliant experience. Going to the games was a real inspiration.
"So to be involved as a player now would be a dream."