Saints sent shockwaves through the continent when they disposed of odds-on favourites Rosenborg in the last round of the competition to set up a meeting with FC Minsk.
And Lasley sees no reason why the Steelmen cannot show similar belief and dump their Russian opponents to seal their own progression in the tournament.
The skipper said: "What St Johnstone have given us is the inspiration in terms of what can be done. Nobody gave them a hope against Rosenborg, who have been involved in the Champions League in the last few seasons.
"At the end of the day, for the Scottish teams, with the co-efficient, it is difficult. Even if we were to get through, we would be looking at other top, top seeds.
"It's difficult - but it's not impossible. We are certainly going into this tie as the underdogs but also with a mind-set that we can progress."
Motherwell crashed out of qualifying for both the Champions League and the Europa League at the first hurdle to Panathinaikos and Levante respectively last year.
But Lasley has nothing but positive memories of those encounters, as he seeks to ensure the European adventure lasts longer this time around.
He said: "The European games have probably been the highlight of my career. For Panathinaikos last year, it was pretty much a full Fir Park. Leading the team out that night is one of the proudest moments of my career.
"They are special nights, with a special atmosphere. We just want to try to stay in the competition for as long as possible because there is nothing better for a player than to test yourself at this level."
Lasley believes recent past experience of European competition will stand Motherwell in good stead.
The midfielder said: "I think we are better prepared. There is no doubt that experience helps from seasons before. It's a different tempo the games are played at, you are up against the physicality of it and these teams are usually technically good.
"But it's a great opportunity for everybody at the club to try to progress and that's what we are looking to do."