The Tigers are through to the quarter-finals of the League Cup for the first time in their history, but face a daunting challenge to reach the last four.
Davies is the first to admit that the Championship side are “massive underdogs”. However, the defender also points to how the Tigers defied the odds to reach the Cup final in 2014 before losing a five-goal classic to Arsenal.
He said: “It is a quarter-final of a cup competition and the onus will be on them to go and beat us.
“If we can spring a little upset – or at least go as far as we can in the game without conceding – then you know you are only one goal or a penalty away from getting through to the semi-finals.
“We will go there as massive underdogs, but crazy things happen in football.
“A couple of years ago I don’t think many people expected us to get to an FA Cup final, so let’s keep our fingers crossed for another upset.”
Hull are one of three Yorkshire clubs in the last eight; Sheffield Wednesday travel to Blackburn Rovers while Middlesbrough host Everton.
Steve Bruce’s men have already seen off Leicester City and Swansea City en route to the last eight and Davies added: “We know the gaffer will make changes.
“There is only so many he can make but, for me personally, I would like to play.
“I want to get a rhythm going and there’s no better challenge than playing against one of the best sides in Europe.”
Friday’s loss to Derby County was Davies’s first start since October 20. He added: “It was good to be back, though, obviously, I would have preferred it not to be a loss.
“But I am just hoping I can play on Tuesday and then against Leeds (next weekend) to try and get some rhythm back.
“I don’t feel as though I did too much wrong, even if I didn’t do anything great.
“But it’s frustrating because you start to over-analyse every little part of the game. If it’s a win you find it that little bit easier, but a loss is difficult to come back in.
“I’ll watch the videos to know what I’ve done right and what I’ve done wrong and take it into the next game.”