Asked if he expected to leave Newcastle this summer, Simpson admitted that he would probably be on his way through the exit door.
"I think it does look that way, unfortunately," Simpson told TalkSport.
"We've had chats and there are no bad feelings. I've given everything while I've been here at the club. It's just one of those things in football.
"I'll definitely miss the club. I've been here for a big part of my football career. I've been here for four years and I've enjoyed every minute of it."