Gers defender Wilson is wanted by Liverpool and Tottenham.
"Hopefully he will stay," Fleck told the Daily Record. "He is still a young boy and I'm sure he will do well for us if he does stay.
"It's up to him, whether he wants to go or not is his choice. I've not spoken to him about it but I'm sure he has probably spoken to people like Davie Weir to see what he thinks.
"The gaffer can make him a better player and I'm sure he would give him games as he is a great player.
"I'm just hoping he stays because I think he has a big future here. I think he would play every week next season if he did stay."