The Swedish side trail 4-0 after their emphatic first-leg defeat in this Europa League third qualifying round tie, and Swansea's progression to the play-off round would now appear to be a formality.
In the previous round of the tournament, Norling's side completed a seven-goal second-leg thrashing of Hibernian, but a repeat at the Swedbank Stadion against Michael Laudrup's Swans appears unlikely.
That has not stopped Norling from dreaming of a remarkable turnaround, although he would settle for an improved performance.
"We are giving it a serious try and bigger miracles have happened," he said.
"But our focus is to play better than we did last week, especially offensively.
"This is a fun match to play. We are facing a team from the Premier League and that's always stimulating.
"We are playing really well at the moment and on Thursday the performance is the most important.
"If we win 5-0 and move on to the next round we'll dance together.
"If we'll win 2-0 and gets knocked out, but if the performance is good, then that's what we have to focus on."
And captain Jiloan Hamad has urged his side to take a bold approach.
"It was more difficult to go and win the ball in the first leg than we are used to," he said.
"However, when we ourselves had it, there was actually more time than we thought.
"Often we rushed the ball away in one touch when it really was time to make something more of it and we need to do that in this game."
Strikers Magnus Eriksson and Tokelo Rantie have both been included in the Malmo squad after overcoming injuries picked up in a weekend Allsvenska win over Halmstad, but midfielder Simon Thern is unavailable due to a thigh problem.