With more than 30,000 supporters expected to roar on the hosts, much could depend on how Stoke - who are contesting their first major European tie for 37 years - handle the atmosphere, and Pulis has urged his side to show no fear.
"We've played at big stadiums for the past three years, and some of them can be pretty hostile," Pulis said.
"The big thing for us is that it is a new adventure and I don't think we should treat it in any other way.
"If our best is good enough, then brilliant and if it's not, so be it. But we must make sure we come here with no inhibitions whatsoever.
"Hajduk are a decent side and very good at home, so they know there is a challenge there - it is just about embracing that challenge."