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Harry Kane had earlier scored his 149th top-flight goal from the penalty spot to move level with Les Ferdinand in 10th position on the all-time Premier League goals list, before Tariq Lamptey drew Graham Potter's side level shortly before the hour mark.
Bale sealed maximum points in the 73rd minute, though, heading home from eight yards just three minutes after replacing Erik Lamela in London.
Spurs head coach Mourinho was delighted with the Wales international'sall-round contribution and could not resist a dig at his parent club, whose boss Zinedine Zidane had a public falling out with Bale.
"For a week or so now, he's been improving," Mourinho tolda media conference. "It'snot just from watching him,the data supports that as well. We knew, Gareth knew. We share ideas and feelings.
"He deserves that the goal. When I have five minutes I'mgoing on Safarito look at theMadrid websites to see what they say about him.
"He showed great personality and had a great impact, scoring a very important goal for us. He also joined Harry in a very experienced way to play the last 15 minutes for us.
"They were very clever, very intelligent, especially at holding the ball up and bringing it into zones where they couldn'thurt us.
"He knows that we care about him and he cares about the club. I think he's a perfect fit. He's very calm, very intelligent. I'mvery pleased for him to score the winning goal."
Bale has started just one game and made three substitute appearances since his return to north London as he slowly works his way back to full fitness.
"He doesn't have 90 minutes in his legs yet," he added. "We are using the Europa League to get him minutes and when we can in the Premier League.
"He is, of course, getting better and better and better. He will start again on Thursday but he will not play 90 minutes. I will use him in the right way."
Lamptey's goal was given afterreferee Graham Scott undertook a lengthy pitch-side video review to assess if there had been a foul on Pierre-Emile Hojbjerg in the build-up.
Mourinho would not be drawn on whether he thought it was a foul, but believes referees should have to explain their decisions after a match.
"There are decisions that I think they should explain and not leave us in front of you journalists explaining things we don't haveany explanations to," he said.