The Latics host the Slovenians in their second Europa League group clash, having earned a goalless draw at Belgian side Zulte Waregem in their opening fixture.
Maribor have never beaten an English side but arrive with more experience than their hosts, having narrowly missed out on qualifying for the Champions League group stages.
Coyle will be up against a new man in Ante Simundza, following the dismissal of Ante Cacic at the weekend, and hopes the DW faithful can create a "special atmosphere".
"It's the first home tie," Coyle said. "We've obviously had the experience of the first European tie for the club against Zulte Waregem in Belgium, where we acquitted ourselves very well.
"And what we want to do now is achieve maximum points tomorrow night, which would put us in a nice place in terms of the standings in the group.
"But to do that we're going to have to play very well because they're a very good side. They changed their coach at the weekend so that brings one or two things that they may change.
"For us, it's important we get to our standard and perform as we can. We've got good players and we're in the process of building a very good team.
"Hopefully it will be a special atmosphere. Coming along for the first home European tie, it will be a special night for everybody."
Coyle has already expressed exasperation at a fixture pile-up after Wigan were forced to play three times in six days last month, but despite chasing a swift return to the Premier League, insists he wants success on both fronts.
"Any competition you enter you want to be winning games," he added. "We as a group want to progress to the knockout stages, and to do that we've got to overcome some terrifically talented opponents.
"The amount of games we've had to play has been difficult, and especially given the fact we've had real injury concerns. But we know moving forward we're going to be in a very strong position.
"We're trying to build a squad that can cope with those demands. Going into the international break, we've got two home games, we want to win both of them and we'll do everything in our power to do that."