The Owls came within one game of getting promoted out of the Championship.
Carlos Carvalhal signed eight players on temporary deals during the course of the campaign, and while Gary Hooper and Jack Hunt's loans were made permanent during the season, Joe Bennett, Vincent Sasso, Daniel Pudil, Alex Lopez, Aiden McGeady and Michael Turner are currently all heading back to their parent clubs.
But Hutchinson is hoping that the Owls manage to keep hold of some of those players beyond the end of their loan deals.
"We have got a couple of players on loan," he told the Star. "Fingers crossed they will get done and stay here."
The Star reports that the club have begun talks with Pudil's representatives, while also suggesting that Sasso and Lopez would both command the kind of fee that may be difficult to justify paying given their mixed campaigns at Hillsborough.
Of the remaining three, the Star claims that Bennett could be tempted into a move, while neither Turner or McGeady is likely to return following their largely disappointing spells.
But with Carvalhal proving during his first season with Wednesday that he is willing to take chances on players, it would arguably not be a surprise if any of the six currently left in limbo were back in Yorkshire next season trying to help the Owls get into the Premier League.