"I have received a fantastic offer from Ajax which is under consideration," he told NUsport magazine.
"There has been nothing else, zero. Maybe because I have been injured."
But he added: "Anybody who does not want to play for Manchester United would be insane."
Stekelenburg has one year left to run on his contract and is in no rush to finalise his future as he waits to see if other offers materialise.
"I wanted to see how things develop," he said. "Nothing has happened, so I will talk with Ajax. I have had a fantastic time here and I have great respect for the board.
"I have always been treated very well. They have made a fantastic offer, and a second meeting is scheduled. But it has to do with whether anything else might come my way."