Juventus got a chance to restore the two-goal margin when the referee pointed to the spot in the final minute of the first half after left-back Sergie Aurier tripped Brazilian winger Douglas Costa, but Lloris tipped Higuain's spot-kick on to the cross-bar.
"The energy was fantastic and it's important to say we played with one day less [of rest]".
The two away goals could prove to be decisive in the tie as Spurs look to create one of the biggest upsets in the competition by knocking out last year's finalists.
"I can only praise the team".
"We are a young team in this competition".
Juventus coach Massimiliano Allegri warned they would be ready to challenge again for a place in the quarter-finals after extending their unbeaten run at home in Champions League fixtures to 23 games.
City romped to a 4-0 win thanks to lkay Gundogan scoring twice. "Everyone has grown up and they are not going to lie down if they are 2-0 down". "They are a very physical and technical team".
Things got even worse for Pochettino's men in the 9th minute as Higuain scored a second from the spot after Ben Davies' foul inside the penalty area.
Higuain took the ball but rather than celebrate a first-half hat-trick his penalty kick rattled against the crossbar.
Eriksen's sublime pass should have resulted in a goal for Kane but his header was superbly saved by Buffon, who also got down well to deflect another Kane shot wide.
But the effort they'd made was almost thrown away when Serge Aurier was outpaced by Douglas Costa and conceded a penalty as he struggled to get back.
Before Kane's goal, Gianluigi Buffon had not conceded a goal for 694 consecutive minutes for Juventus and Italy.
Juve have been runners-up in two of the past three Champions Leagues, but have work to do against Tottenham.
Asked if he feared his side were about to sink without trace after Higuain's double strike, Kane told BT Sport, "We could have done, away from home in the Champions League".
The game had barely begun when Kane was met with a Chiellini body check which the Tottenham player described in a pre-match news conference on Monday as a "very nice welcome to global football".