Bale looks set to leave the Bernabeu this summer with Real Madrid boss Zinedine Zidane admitting he wants the Welshman to depart.
Zidane said: “We hope he leaves soon. It would be best for everyone.
“We are working on his transfer to a new team.
“I have nothing personal against him, but there comes a time where things are done because they must be done.”
Premier League giants Tottenham and Manchester United have both been linked to Bale.
The bookies think the former Spurs star will move to China and Pochettino has admitted he’s unsure if Tottenham will be in for him.
“I saw in the media but I do not know which club is going to sign him,” Pochettino said.
“I do not know if it is us or another club.
“It is the job of my chairman to build the best possible club.”
Bale has had a strained relationship with Zidane despite scoring two Champions League final-winning goals.
He was left out for Real’s pre-season defeat to Bayern Munich in the early hours of Sunday morning.
And the Welsh winger’s agent Jonathan Barnett has hit out at Zidane over his treatment of Bale.
“Zidane is a disgrace to speak like that about someone who has done so much for Real,” Barnett said.
“If and when Gareth goes it will be because it is in the best interest of Gareth and nothing to do with Zidane pushing.”
Tottenham have already broken their club record transfer fee this summer with the £55million signing of Tanguy Ndombele.
Pochettino is expected to make further additions to his team before the transfer window closes.
Ndombele impressed as Spurs beat Juventus 3-2 on Sunday with Harry Kane scoring a late winner. And Pochettino was pleased with his new recruit.
He said: “Yes of course I am happy but we cannot expect from him too much.
“He’s only just had the possibility to get to know his team-mates, to adapt himself to the new countries, new culture, new players, new games, new tempo.
“All is new for him, but I think with the first touch of the ball he started to show the quality from him.”
