Bale's future remains uncertain in the Spanish capital and a move back to the Premier League seems likely, with the 30-year-old still held in high regard back in Britain.
"Come on, I don't need to answer that," Mourinho responded when asked if he would be keen on Bale joining Spurs, doing so with a smile.
Bale has clearly been keeping an eye on what has been happening at the Tottenham Hotspur Stadium in recent months and he is pleased with the appointment of Mourinho.
"Having Mourinho there is an amazing statement from the club, I think he is a serial winner," Bale told BT Sport.
"If Tottenham want to win trophies, then I don't think there is a better partnership."
To which Mourinho responded in Wednesday's post-match press conference after Spurs' 2-1 loss away at Manchester United.
"It is nice, I thank him," Mourinho said.
"I didn't know. If Gareth said that I'm really pleased."