Wolves and Reading both had bids of around £8 million rejected by Preston last week, but Sky Sports says the 25-year-old is keen to force a move away from Deepdale.
Preston boss Alex Neil had insisted Hugill wouldn’t be sold, despite interest in the player throughout the summer.
“Our side is not going to get broken up,” he said.
“It’s not as if anybody’s got a gun to our head and we need to get rid of them.
“We want to go and try and achieve something this season so you need to keep your best players.