That the very idea is under discussion says as much about Hull's impressive start to the season as it does about United's troubled transition to life under David Moyes.
The Tigers go into the weekend in eighth place with 10 points from six matches, three points and four spots better than the reigning champions.
Davies confessed to making the bold pledge to bare all if that is still the case at the end of the campaign, but is realistic enough not to take the prospect too seriously.
"I said last week when I was being interviewed and someone asked 'what's it like to be above Manchester United?' that I'd streak around the KC if we finish above them but ultimately that's how ridiculous it is at the moment.
"I'm not sure I'd get away with it, I might get arrested on way round. It's one of those things that's a bit tongue in cheek, but if we actually did finish above them I guess I'd have to do it.
"We're six games into the season so being above Manchester United is nothing. We've got our own personal table to work towards and as long as we're top of that table that's all that matters."
Davies, who has inherited the captaincy since Robert Koren was ruled out for eight weeks with a broken foot, has been in fine form since signing for the Tigers this summer.
He will lead the side out against former club Aston Villa on Saturday and although his time there ended in disappointment, he does not approach the match with a point to prove.
Davies enjoyed some good times with Villa but fell out of favour in his last season and was often left out of the matchday squad before eventually departing for Birmingham.
He was unmoved when asked how he would feel lining up against his old side at the KC Stadium.
"I'm just a Hull City player playing another team," he said.
"It might sound a cliche but it's just another game. I'm there to do my best for my team and hopefully get a clean sheet.
"It would have been different if I'd played against them soon after leaving because there would have been a few team-mates and things like that but it's a totally different regime to when I was there.
"Off the top of my head I've only played with Ciaran Clark, Gabby (Agbonlahor) and (Andreas) Weimann."
Of those players, Davies is most cautious about facing Weimann, who was at the start of his career when Davies operated at Villa Park.
"I've always rated Andy. Ever since I came into the building when he was a 16 year old he reminded me of Kevin Phillips," said Davies.
"He plays on the shoulder, he gets in behind and his finishing is top quality. You can't teach someone the kind of natural finishing that he has.
"He's improved the rest of his game too and that's why he's getting the results he is now."
Having lost first-choice partner James Chester to a hamstring injury, Davies was partnered by Abdoulaye Faye for last weekend's win over West Ham.
But at 35, Faye may not have the pace to cope with Villa's front line meaning a possible recall for Paul McShane or Alex Bruce.
There will be one other enforced change, with one of Stephen Quinn or George Boyd set to replace top-scorer Robbie Brady, who had a hernia operation in midweek.