However, Meulensteen has rejected such rumours and hinted that a move for Ajax midfielder Christian Eriksen is more likely.
The first-team coach told Voetbal International: "The name Strootman has internally never been discussed.
"We follow every young player with potential. The same is true for example with Christian [Eriksen].
"I don't have a very clear picture of Strootman as a player. In England, some media call him 'the new Roy Keane' but that seems like nonsense to me."
Manchester United are currently first in the Premier League.