Reports in the national press over the weekend had suggested United could move for the £65m-rated Netherlands international this summer.
But Sky Sports News understands United have withdrawn the interest they held in De Ligt, with many among the Old Trafford hierarchy believing the 19-year-old is set to join Barcelona.
When asked about his future on Sunday, De Ligt said:
“Where do I see myself? Well, obviously the Premier League is a big competition, Spain also, but you have other competitions, it’s not (just) about those two.
“I still don’t know anything about where my future is, so I see how it goes. First, we have to play two games (in the Nations League) and then after that, we’ll see what happens next.”
De Ligt has been a regular for Ajax over the past three seasons and captained the club to a league and cup double this campaign.
He was also instrumental in the Dutch side’s run to the Champions League semi-finals – suffering defeat to Tottenham in the last four of the competition.