Indeed, the ex-Celtic star feels the travel won't be too stressful for the players and has backed the Hoops to have enough to make the group stages.
Both Celtic and Malmo have been European Cup powerhouses in their history and both will naturally be desperate to make it to the competition proper this time around.
McAvennie, though, feels the advantage lies with the Bhoys.
One more step
The fact Ronny Deila has now had a full season - and pre-season - with Celtic ahead of the Champions League qualifiers has made an obvious difference this term. The Norwegian was criticised for his start to life at Parkhead and even he has admitted mistakes were made.
This time around, however, the preparation has been ideal and Celtic's defensive performances, especially against Qarabag, have been both vital and impressive in equal measure.
What the Hoops could naturally do with more of for comfort are goals. But, even if Deila's men are to do things the hard way again v Malmo, it's only the end result that counts.