The Red Devils are close to signing the Dutch international, who can play in central and attacking midfield.
Van de Beek is set to sign from Ajax for around £40 million.
Rashford liked a tweet by Italian journalist Fabrizio Romano, who reported United were confident about concluding a quick deal with Ajax for the player.
Van de Beek may play in midfield alongside Paul Pogba and Bruno Fernandes, or he could be used as a rotation option when either of them are rested or injured.
He would be United's first major signing of the window.