Miralem Pjanic flicked the ball to Higuain on the edge of the area and the Argentina worldwide fired a right-footed strike into the bottom left corner.
A derby win over Torino tomorrow morning (Singapore time), coupled with a Roma defeat at Europa League-chasing AC Milan 24 hours later, would take the champions' lead over the capital side to 12 points with three games to play.
Juventus' Argentinian forward Gonzalo Gerardo Higuain vies with Torino's Italian defender Emiliano Moretti and Torino's Italian midfielder Marco Benassi during the Italian Serie A football match Juventus vs Torino FC at the Juventus stadium in Turin on May 6, 2017.
"It was an unjustifiable mistake and it wasn't the only one, as in the first half we got three yellow cards for a perfectly fair game".
Juve coach Allegri, whose side take on Monaco in the second leg of their Champions League semi-final on Tuesday, was in upbeat mood after the game but acknowledged his side lacked composure in their attacking play.
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"We have over 14 universities and our literacy rate is over 90 [%] - the highest in Africa", he said, adding that the economy was improving.
Torino took a shock lead when Ljajic floated a ideal free kick over the wall and in off the underside of the crossbar, leaving Norberto Neto stranded. Only Roma's Edin Dzeko matches his 25 league goals this season and Manchester United are the latest team to be linked with the Italy global, who is reportedly valued around £85million.
"We created a lot but we were a little frenetic".
"Juve had more chances than us, of course, and if they had scored earlier, it would've been less painful".
Dries Mertens celebrated his 30th birthday by scoring twice to lead Napoli to a 3-1 win over Cagliari which lifted them into second place in Serie A on Saturday.
Diego Farias broke away to pull one back in stoppage time for Cagliari.