Carlisle are reportedly interested in bringing the 22-year-old back to Brunton Park after a loan stint with the Cumbrians towards the end of last season.
Morris is out of contract but has been offered a new deal by Scunthorpe - and therefore they can demand compensation if he leaves.
"If someone wants to take him from this club then they are going to have to pay a lot of money," Adkins told the News & Star.
"Ian knows he has a future here. He knew that before he went on loan to Carlisle.
"He is a young player and a versatile one who we have helped develop."