Website Football.London is reporting that the Red Devils are not in discussions with the north London side about signing their Belgian defender this summer.
It had been thought that the Red Devils were keen on a move to bring the 29-year-old defender to Old Trafford this summer as Jose Mourinho looks to strengthen his squad ahead of next season.
However, the same report says that although the two clubs were believed to be in talks about a possible deal last month, there have not been any fresh rounds of discussions.
According to the same story, it is possible that one problem in discussions was the fact that Tottenham wanted to sign Anthony Martial as part of the deal for Alderweireld to head to Manchester United.
Despite the report, it is still claimed that Alderweireld could leave Tottenham this summer after having fallen out of favour at White Hart Lane last season.
Manchester United are believed to be on the lookout for some defensive reinforcements this summer as Mourinho looks to assemble a squad capable of winning the Premier League title next term.
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