The Tigers have positioned themselves within the leading pack in the Championship and have 10 games left in which to try and wrap up a top-two finish.
A play-off spot would represent some achievement for a club few tipped to be among the frontrunners, but those at the KC Stadium are hoping to avoid treading that path if possible.
Bruce admits his side will need a bit of luck if they are to edge out their rivals, but concedes that anything is possible in what remains an extremely competitive division.
"We have had a crazy week - we have lost a couple of games by four and won a game by five - it's just one of those incredible weeks in the Championship," Bruce told Sky Sports News HD.
"It's such a difficult league, but we have given ourselves a fantastic chance.
"We were 40/1 outsiders at the start, nobody gave us a hope of getting up, but with 10 games to go we have given ourselves a chance - but then so have Crystal Palace, who have been on a good run lately, Watford have been on a particularly good run and Cardiff have set the pace from the start.
"There is still a lot to play for, five or six teams that are still in with a wonderful chance and thankfully we are one of them."
Bruce added: "There are a lot of games coming thick and fast in a short space of time, we have got 10 games in the next six weeks. April is a big month, where people have got six or seven games in a short period of time.
"It would be terrific if it went down to the last game of the season at home to Cardiff, that would be a fantastic occasion, but I think there are going to be a lot of twists and turns before then and a few strange results. Nothing would surprise me in this division.
"We are delighted to be there in and around it and let's hope we can stay injury-free and have that bit of luck that everybody needs and make a fist of it."