BBC Football.
Red Star, who were European champions in 1991, lost 3-1 in September's reverse fixture in Manchester and will finish bottom of Group G having collected just one point so far.
However, head coach Barak Bakhar is hopeful his side can sign off from their European campaign with a shock victory on home soil.
"We are in first place in the [Serbian] table and we want to take this momentum. We want to finish this group stage in a good way and we will try to do that," he said.
"We know that Manchester City will not come with a full squad but they still have the best players in the world, so we must prepare for a very tough game."