The Owls, who are 16th in the second tier, lie as many points off the top six after only one win in eight league games.
Hunt told The Star that injuries to the squad have not helped the South Yorkshire side this season, adding that they must "go again next season".
"I think it would take pretty much a miracle for us to get into the top six," the 27-year-old said. "It has been a very disappointing season but one that I'm sure, for the rest of my career, I will never be involved in again with the amount of injuries that we have had to key players.
"Unless we went on a magnificent run and won every game, I can't see us making the top six. We have to win as many games as possible and create a good atmosphere and good platform to go again next season. That's the most important thing.
"We have got that organisation at the moment and it has not been with the same personnel every single game. "We have been chopping and changing so credit to everyone who has been ready to come in."
Hunt, who began his career with Huddersfield Town, spent three years at Crystal Palace out on loan before moving to Sheffield in 2016.