The Tigers are just one point outside the automatic promotion places with nine games left to play in the Championship.
The club's manager told Sky Sports News: "We're delighted we're there because no one gave us a cat in hell's chance at the start of the season.
"It's important not to get over-cautious. You've got to try and enjoy the experience rather than getting bogged down by it.
"All we can do is give our best crack. If we give it everything we've got, and I'm sure we will do, then that'll do me. I know we won't be far away."
Hull face Burnley at Turf Moor tomorrow evening.