Warriors have already secured a top-four spot and a home quarter-final place, while the Italians sit at the bottom of the URC table.
"There's absolutely no chance," Murchie told the BBC Scotland website. "We've got nothing to be complacent about. We need a performance on Friday night in front of our home fans. We need to show how much we care. There's absolutely zero chance of complacency in this game from us."
Murchie also spoke about veteran stand-off Duncan Weir, who signed a new contract at Scotstoun on Monday.
"Duncan's been here in two spells now, he's someone I've played a fair amount with," Murchie added. "He's probably played his best rugby for a long time this season, what he brings to us in training and every time he's had the opportunity in a game.
"He's had some excellent performances this season. He's probably the fittest he's been for a number of years, which is testament to him, the way he goes about his preparation. He's positive for us on the pitch, but also what he brings off the pitch - his experience, how he can develop the young players - is absolutely vital."
The defence coach also highlighted the departing Ross Thompson, who will join Edinburgh at the end of the season after three years at Glasgow.
"It's a good opportunity for him. We never like to see someone of his talent move on because he is a very talented player and he's had some excellent performances for us both in the past and this season.
"I can't doubt his commitment to the club. Sometimes it just works out that it's best for the player in the particular situation that he's in to go somewhere else. We'll miss him because of the type of person he is. Sometimes these things happen in rugby and we wish him all the best."