According to reports, the Red Devils are considering Wharton as an alternative to Brighton's Carlos Baleba, who they had initially targeted.
However, United's manager Ruben Amorim is still keen on bringing in a new midfielder before the transfer window closes.
Wharton has also caught the attention of Liverpool and Bayern Munich in the past six months, but Palace are unlikely to sell him cheaply.
The Eagles would demand a significant fee of £50-60 million for Wharton, and with other players set to leave the club in the near future, they are under no pressure to sell.
