Spurs, now stripped of long-term injury victim Son Heung-min with a broken arm as nicely as Harry Kane, had been overwhelmed more convincingly than the scoreline suggests as the side lying second in the Bundesliga established their growing stature.
And it was solely a masterclass from goalkeeper Hugo Lloris that offers Spurs hope for the second leg in Germany, maintaining Leipzig at bay with a string of superb saves earlier than he was beaten by Timo Werner’s 58th-minute penalty.
Lloris turned Angelino’s shot on to the post and saved from Werner inside the first minute, later denying the striker once extra from point-blank range.
He was once powerless to stop Werner’s drilled spot-kick after Ben Davies fouled Konrad Laimer however kept Spurs in it with a vital block from Patrik Schick.
Spurs sooner or later forged chances of their own after the break, with Leipzig keeper Peter Gulacsi turning Giovani Lo Celso’s free-kick on to the post and Lucas Moura heading over from close range – but it is advantage to Julian Nagelsmann’s team.