The Dutch veteran announced this week he will hang up his gloves at the end of the season and the search is on for his replacement.
But Old Trafford coach Rene Meulensteen revealed the current Dutch No1 is their choice.
He said: "Stekelenburg is indeed the keeper who is at the top of our wanted list.
"We naturally talk a lot among ourselves about who should replace Van der Sar.
"Alex Ferguson has spoken about Stekelenburg with Edwin, and that does not seem strange to me at all."