"We're running out of games but we can go into this match confident after the way we performed at the Madejski Stadium two weeks ago," Davies said.
"It's going to be tough but the lads are looking forward to it. It's the last chance saloon.
"The way it's looking, we've got to rely on other teams but it's never easy at this stage of the season. You're always hoping for other sides to slip up but they always seem to pick up a few wins, like we did against Reading.
"Hopefully we can manage that again against City. To be fair the confidence is still strong in the squad. If we go into the Man City game really pushing it, we could certainly catch them on an off day and beat them.
"It's definitely possible and if we are to have any chance of staying up we must come away with three points."