After losing 2-0 last time out to London rivals Chelsea, Spurs appeared in danger of suffering a second successive home defeat when they fell behind on Boxing Day, Adam Webster heading in a free-kick in the 37th minute.
However, Harry Kane - who had earlier seen a goal ruled out for offside - drew the hosts level before Dele Alli struck what turned out to be the winner with a wonderful 72nd-minute finish, much to the delight of the Spurs boss.
Mourinho felt his side had not played that badly before the break, but just needed to change "bits" to launch a comeback against a team who always posed a threat at set-pieces.
"Really happy with the second half. We changed bits. I'm not saying players - it was not about players - it was about bits. Those little things sometimes make a difference," he told Amazon Prime.
"But in the first half it was not a disaster, it was not a bad performance. It was a difficult game against a good team.
"After a defeat is never easy, when you don't start well after a defeat, I always think it affects the self-esteem and confidence. Then we conceded a goal from something in football that is very difficult to control.
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