Juve's win took them four points clear of Napoli, who visit Fiorentina on Sunday, and ensured they will finish the weekend top of the table with three matches to play.
That result shrunk Juve's lead to just one point with four games remaining, and two tough trips to Roma and Inter still to come.
But Milan Skriniar turned the ball into his own net after 87 minutes with Gonzalo Higuain heading in the victor two minutes later.
As so often in Serie A, there were recriminations, centring on referee Daniele Orsato's decision to send off Inter midfielder Matias Vecino in the 15th minute at San Siro but to allow a reckless body-check by Juve midfielder Miralem Pjanic to go unpunished.
Sarri, who saw striker Gonzalo Higuain leave Napoli for Juventus two years ago after breaking the Serie A scoring record, also pondered what effect another Juventus win would have on the championship.
"If we win our remaining games, we will achieve a points record which in itself will be very satisfying", he said.
"The risk is that we lose fans, because they cheer for teams that will never win the title and they know that full well".
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Prime Minister Benjamin Netanyahu called it a "disaster" and said he was being updated regularly by those conducting the search. The main question being asked was why the group had chose to continue with the hike in an area known for flash floods.
Against all the odds, Inter turned the game around as Mauro Icardi equalised shortly after halftime and veteran Juventus defender Andrea Barzagli turned Ivan Perisic's low cross into his own net.
Instead, Buffon attracted praise for staying on the pitch to congratulate every Napoli player in the aftermath of a victory that brought them to within one point of the reigning Italian champions and current top-flight leaders.
Earlier, Roma hardly noticed having a man dismissed as they beat visiting Chievo 4-1 with a brace from Edin Dzeko helping them strengthen their hold on third place.
Roma next face Liverpool in the Stadio Olimpico on Wednesday where they have to overturn a 5-2 first-leg deficit to advance to the final.
The host dominated even after Brazilian defender Juan Jesus was sent off for fouling Inglese and Alisson saved the resulting penalty, with El Shaarawy and Dzeko adding two more within 10 minutes. "We could have scored more but we got the win, and that's the main thing".