A late goal from Luton Town substitute Kazenga Lua Lua condemned the Tigers to a 1-0 defeat at the KCOM Stadium this afternoon, a result which looks certain to relegate Grant McCann's men.
Now 23rd in the Championship standings, City - victorious only once in 19 league outings - have to go and turn over promotion-chasing Cardiff in midweek and rely on the Hatters losing at home to Blackburn and Wigan Athletic failing to beat Fulham.
Given that the East Yorkshiremen have lost five on the bounce and 15 of their last 19 games, their chances don't appear great.
Factor in Luton having suffered only one solitary defeat in eight matches since the season resumed and the form of Wigan, beaten once in 14, and the picture only gets bleaker as far as Hull are concerned.
Yet, although McCann concedes that the Tigers are up against it, he still feels that survival is a possibility
Asked if his team needs a miracle to stay in the division, the Northern Irishman said: "Of course.
"We are on the brink [of League One] there's no point hiding, but it's still mathematically possible that we can stay up, albeit very small.
"We need to win at Cardiff and hopefully results go our way. Mathematically, we still have a chance. Going to Cardiff on Wednesday night, we'll try and put in a performance and try and get a result.
"We need to win, first and foremost before we worry about anyone else and that'll be the main thing."