The Hibees were beaten 1-0 by the Jambos in the Premier League earlier this season and McGivern is hoping the League Cup quarter-final at Easter Road in late October can provide the home side with some joy.
"It's the draw all the fans would have wanted, and the players as well, it's a massive draw,” he said.
"It's a chance to set the record straight for the result earlier in the season.
"Hopefully we can do that with a sell-out crowd in a midweek game. And a cup match adds a bit more spice."