Goal revealed on Wednesday that Spurs have finally opened talks with the Spanish outfit over the €115 million sale of the Welshman, while los Blancos coach Carlo Ancelotti also confirmed his side's pursuit of the PFA Player of the Year.
|3/1||Gareth Bale is 3/1 with Bet365 to be a Spurs player on September 3
"I think it'll be difficult for him not to go now. I think he wants to go, if we're truthful," Redknapp told BBC Wales's 'The Backpage'.
"He doesn't want to say it but I hear from different sources that he really wants to go now."
The QPR boss insists that Bale's desire to leave Tottenham is only fuelled by the allure of playing for a prestigious club such as Real Madrid and is not influenced by the potential financial rewards.
"When you're a kid and you start playing football you dream about playing for Real Madrid," Redknapp added. "When I was a kid I saw that great team of Ferenc Puskas, Francisco Ento, Alfredo Di Stefano.
"Real Madrid is a special club. The chance to run out at the Bernabeu only comes once in a lifetime - as [Zinedine] Zidane said the other day, you can't not take it."