The Mirror reports that United are ready to make a move for the 26-year-old after the Spanish club sacked manager Rafael Benitez on Monday.
Bale is reportedly considering his future at the Bernabeu after the sacking of Benitez.
The Wales captain had a good working relationship with Benitez and the forward is disappointed that the former Liverpool manager was replaced by Zinedine Zidane.
Real Madrid president Florentino Perez is not keen to sell the forward, but could be tempted to cash in on the former Spurs star should they get the price they want.
