Real keeper Iker Casillas and defender Sergio Ramos have already spoken out in favour of the club's pursuit of the Wales international.
And Brazilian playmaker Kaka has suggested that Bale would fit in well in the Spanish capital as Real try to secure the club's first Champions League crown since 2002.
"He's a very, very good player," said Kaka on Sky Sports News. "If he comes to Madrid he will be welcomed."
Bale has reportedly told Andre Villas-Boas that he wants to leave Tottenham to move to Real and a world record offer of £85m is thought to already be on the table.
And Kaka would be happy if such a figure is enough to persuade Tottenham chairman Daniel Levy to part with his prized asset.
"He's an amazing player with lots of technical ability, skills and tricks. We will be very happy if he comes," he added.
Meanwhile, Swansea boss, and former Real player, Michael Laudrup believes Bale will be worth any sum his old club are prepared to pay to prise the winger away from White Hart Lane.
"Is he worth £100m? Who can tell? Who can tell what something is worth? Everything is worth what one club, one person, one company, is willing to pay. It's like buying a house," said Laudrup.
"We talk about it like merchandise and I don't like it, but it's fact that if one person is willing to pay so much for one player then he is worth it."
Laudrup also admits he can understand why Bale's head would be turned by the chance to play for one of the biggest clubs in the world.
"Real are a massive club. I don't know if he will go as I only know what I've read in the papers here and in Spain because there's huge interest in him," he said.
"There are three or four clubs who say they are the biggest in world but Real Madrid are definitely one of them.
"Tottenham are a big club but Real Madrid is a step more in every aspect, they have won the Champions League nine times and I don't know how many league titles. There is a lot of pressure.
"You have to have quality as a player but you also have to cope with that pressure and not everyone can do that.
"He has technical ability to play there but let's see what happens. I think he's a great player and he's already shown that with a fantastic season for Tottenham last season.
"But we are reading about some big numbers and if they are true maybe in the end he will go."
He added: "Big players want to play at the highest level, at a club who try and win the Champions League, who get to finals and semi-finals.
"There are six, eight, 10 clubs with that potential and Real Madrid is obviously one of them. All big players want to play for that possibility because it's special."