Thompson's agent Tony McGill said in the Yorkshire Evening Post: "The thing that matters most to Alan is enjoying his football.
"He was very happy at Leeds, and there's a chance he could go back there. It's early days but I've had a meeting with them and we'll see where it takes us.
"Obviously they can't pay him what he was on because they're a League One club, and if this was about money then Alan wouldn't be going to Leeds.
"But he's thought about that, and it's more important that he finds a club where he's happy."